Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 976779: What are the two numbers that when you multiply them, the answer is 600r² and if you add them, the answer is 10? By the way, this is the problem: (3r+1)²+(r+2)²=65
Click here to see answer by FrankM(1040) About Me 

Question 976790: y=x^2-6x-4
Click here to see answer by FrankM(1040) About Me 

Question 976792: Pls help out in solving:what+must+be+added+to+3x%5E2-3x+to+make+it+a+perfect+square
Click here to see answer by Alan3354(69443) About Me 

Question 976796: Pls help out in solving: what must be added to x%5E2+-3x to make it a perfect square
Click here to see answer by josgarithmetic(39616) About Me 

Question 976798: Pls help out in solving: %28++1%2F2x%5E2%29+++++%2B++++++3x+++++++++%2B1+=0++
Click here to see answer by stanbon(75887) About Me 
Question 976798: Pls help out in solving: %28++1%2F2x%5E2%29+++++%2B++++++3x+++++++++%2B1+=0++
Click here to see answer by Alan3354(69443) About Me 

Question 976852: Kevin's monthly salary is $6,962.50 what would be his equivalent semi monthly salary?
Click here to see answer by FrankM(1040) About Me 

Question 976853: I have an unsimplified equation and need to simplify it then solve for x:
%28+3sqrt%282%29+-+x+%29%2F%28+sqrt%28x%29+%29+=+sqrt%282x%29%2F+%28+sqrt%282%29+-+x+%29+
so if I simplify using cross multiply I should have?:
6+-+sqrt%282%29x+-+3sqrt%282%29x+%2B+x%5E2+=+sqrt%282%29x
x%5E2+-+5sqrt%282%29x+%2B+6+=+0
I'm new to doing this with square roots all involved, did I go about this right?

Click here to see answer by josgarithmetic(39616) About Me 
Question 976853: I have an unsimplified equation and need to simplify it then solve for x:
%28+3sqrt%282%29+-+x+%29%2F%28+sqrt%28x%29+%29+=+sqrt%282x%29%2F+%28+sqrt%282%29+-+x+%29+
so if I simplify using cross multiply I should have?:
6+-+sqrt%282%29x+-+3sqrt%282%29x+%2B+x%5E2+=+sqrt%282%29x
x%5E2+-+5sqrt%282%29x+%2B+6+=+0
I'm new to doing this with square roots all involved, did I go about this right?

Click here to see answer by Alan3354(69443) About Me 

Question 976863: Hello!
I have to find a polynomial function that has the given zeros: 0,4,10.
This would be my answer x^3-5x^2+30x but it says its wrong but I dont know why.
Thank you

Click here to see answer by josgarithmetic(39616) About Me 

Question 976956: While on the golf course last weekend Marc hit into the rough landing the ball behind a
tall tree. His best option was to get it high enough to get over the tree and hopefully
come down in the fairway for his next shot. So with a mighty swing he hit the ball into
the air and was surprised to see the ball hit near the top of a 300 foot tall tower that
he had not noticed.
The formula is: h(x)= -16x^2 +20x where h is the height of the ball and
x is the number of seconds the ball is in the air.

How high did Marc actually hit the ball?

I am completely stuck on this question any assistance would be appreciated.

Click here to see answer by FrankM(1040) About Me 

Question 976976: Hey ! I need help solving this.
f(x) = x^4 − x^3 − 20x^2
What are all the zeros of the function and determine the multiplicity of each zero and the number of turning points of the graph of the function.
Thank you!

Click here to see answer by MathLover1(20849) About Me 
Question 976976: Hey ! I need help solving this.
f(x) = x^4 − x^3 − 20x^2
What are all the zeros of the function and determine the multiplicity of each zero and the number of turning points of the graph of the function.
Thank you!

Click here to see answer by lwsshak3(11628) About Me 

Question 976974: Hey I need help solving this.
f(x) = x^3 − 2x^2 − 16x + 32
What are the zeros of this polynomial function? and what are the multiplicity of each zero and the number of turning points of the graph of the function?
Thank you

Click here to see answer by MathLover1(20849) About Me 

Question 976849: the sum of the length I and the width w of a rectangular region is 190 meters Find the dimensions that produce the greatest area
Click here to see answer by Fombitz(32388) About Me 

Question 977052: Hello!
I need help solving this:
I have the function:f(x) = 4x^3 + 5x^2 + 36x + 45
and the zero: 3i
I have to use the given zero to find all the zeros of the function.
Thank you

Click here to see answer by Fombitz(32388) About Me 

Question 976375: Please solve the equation for the indicated variable. Assume no denominator is 0. rm=t^2-mt, for t
Click here to see answer by Fombitz(32388) About Me 

Question 977095: Hello!
I need help with this equation.
f(x)= 1/x-6
I need to find the domain, x-intercept and y=intercept,vertical and horizontal asymptote and the graph.
Please explain each step.
Thank you

Click here to see answer by josgarithmetic(39616) About Me 
Question 977095: Hello!
I need help with this equation.
f(x)= 1/x-6
I need to find the domain, x-intercept and y=intercept,vertical and horizontal asymptote and the graph.
Please explain each step.
Thank you

Click here to see answer by lwsshak3(11628) About Me 

Question 977120: 4(6x-1)^2-5=223
Click here to see answer by anand429(138) About Me 

Question 977170: If x^2-3x+1=0.
Then find the value of x^2+x+1/x^2+1/x.

Click here to see answer by josgarithmetic(39616) About Me 

Question 977191: Formulate A Quadratic Equation Of A Graph, Given Only X-intercept (-1) But It Passes On Y-intercept (-1) And Show If It Passes On Y-intercept
Click here to see answer by solver91311(24713) About Me 
Question 977191: Formulate A Quadratic Equation Of A Graph, Given Only X-intercept (-1) But It Passes On Y-intercept (-1) And Show If It Passes On Y-intercept
Click here to see answer by FrankM(1040) About Me 

Question 977251: Do you agree that a quadratic equation has at most two solutions?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 977252: Hi, please help me. It's about quadratic equation, Mr. Bonifacio would like to enclose
his two adjacent rectangular gardens
with 70.5 m of fencing materials. The
gardens are of the same size and
their total area is 180 m2.
1. How would you represent the dimensions of each garden?
2. What mathematical sentence would represent the length of fencing material to be
used in enclosing the two gardens?
How about the mathematical sentence that would represent the total area of the
two gardens?
3. How will you find the dimensions of each garden?
4. What equation will you use in finding the dimensions of each garden?
5. How would you describe the equation formulated in item 4?
How are you going to find the solutions of this equation?
6. Do you think the methods of solving quadratic equations that you already learned
can be used to solve the equation formulated in item 4? Why?

Click here to see answer by josgarithmetic(39616) About Me 

Question 977280: 6x^(x)-54x=0
Click here to see answer by Alan3354(69443) About Me 

Question 976182: Solve the following system of equations using the substitution method
5x-7y= -18
4x+ 3y = 20

Click here to see answer by Cromlix(4381) About Me 

Question 977145: 3x²-2√6x+2=?
Click here to see answer by Alan3354(69443) About Me 

Question 977340: Please solve the equation.
(x+1)^1/4 + 3=0

Click here to see answer by Edwin McCravy(20054) About Me 

Question 975624: Identify the quadratic equations as pure, incomplete, or complete.
5x2=7x

Click here to see answer by Fombitz(32388) About Me 

Question 977500: Using our quadratic equation knowledge match the following scenarios.
____ 1. Hitting a golf ball on the moon
____ 2. Hitting a golf ball on Earth from the top of a tall building
____ 3. Hitting a baseball on Jupiter
____ 4. Hitting a baseball on Earth by a bionic man
____ 5. Hitting a baseball on Earth by a 10 foot tall person
A. h(x)=-16x^2+500x+4
B. h(x)=-50x^2+50x+4
c. h(x)=-8x^2+100x
D. h(x)=-16x^2+75x+8
E. h(x)=-16x^2+150x+300
I know that the scenarios involving earth is the equations with -16, but that's about it.
Any help would be appreciated!Thanks in advance!

Click here to see answer by richwmiller(17219) About Me 

Question 977541: How can I solve for the value(s) of the variable of 2s^2-98=0?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 977601: Consider the integral expression in X
P=x%5E3%2Bx%5E2%2Bax%2B1
where A is a rational number.
At A=3, the value of P is a rational number for any X which satisfies the equation x%5E2%2B2x-2=0 , and in this case the value of P is 12.

Click here to see answer by solver91311(24713) About Me 

Question 977653: Solve W2+6w-11=0 using complete square method
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 977730: solution set of x^4+(2-x)^4=34,x is real number, is

Click here to see answer by josgarithmetic(39616) About Me 

Question 977687: The shaded part of the diagram at the right shows the portion of a square -shaped car park that is already cemented. The area of the cemented park is 600 metre square.
How would you represent the length of the side of the car park? How about the width of the cemented portion?
What equation would represent the area of the cemented part of the car park?
Using the equation formulated, how are you going to find the length of a side of the park?

Click here to see answer by solver91311(24713) About Me 

Question 977885: Write the quadratic equation that would represent the volume of each box

Click here to see answer by Fombitz(32388) About Me 

Question 977919: When a stone is projectad into the air with a vertical speed of 25m/s,its height in meters above the ground after t seconds is given by h=26+5t^
Draw the graph of h=26t-5t^ for values of t from 0 to 6 taking 2cm to represent 10units of h. From your graph estimate
1)After how many seconds the stone will hit the ground
the ground
2)the greatest height
3)for how many seconds is the stone more than 30 meters above the ground
4)find the speed of the stone at 3seconds

Click here to see answer by Alan3354(69443) About Me 

Question 978002: Write an equation (a) in standard form and (b) in slope-intercept form for the line described.
through (5,9), parallel to y=-4

Click here to see answer by MathLover1(20849) About Me 

Question 978003: Please write an equation (a)in slope-intercept form and (b)in standard form for the line passing through (2,2) and perpendicular to x=-9.
Click here to see answer by MathLover1(20849) About Me 

Question 978000: Please write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,6) and parallel to x+2y=5.
Click here to see answer by MathLover1(20849) About Me 

Question 977998: Write an equation of the line passing through (-3,5) and (2,6). Please give the answer in standard form.
The equation of the line in standard form is

Click here to see answer by Alan3354(69443) About Me 

Question 978001: Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,9) and perpendicular to 2x+7y=1.
Click here to see answer by MathLover1(20849) About Me 

Question 978023: I need help on factorising quadratic expressions:
It says to factorise fully - +2%28x%2B3%29%5E2-10+
The textbook answer is +2%28x%2B3%2Bsqrt%285%29%29%28x%2B3-sqrt%285%29%29+
However I got an answer of +2%28x%2B3%2Bsqrt%2810%29%29%28x%2B3-sqrt%2810%29%29+
I used difference of two squares.
Thankyou

Click here to see answer by Alan3354(69443) About Me 
Question 978023: I need help on factorising quadratic expressions:
It says to factorise fully - +2%28x%2B3%29%5E2-10+
The textbook answer is +2%28x%2B3%2Bsqrt%285%29%29%28x%2B3-sqrt%285%29%29+
However I got an answer of +2%28x%2B3%2Bsqrt%2810%29%29%28x%2B3-sqrt%2810%29%29+
I used difference of two squares.
Thankyou

Click here to see answer by jim_thompson5910(35256) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240