Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 891959:

Click here to see answer by regularasdf(2)

Question 891987: The square of the sum of a number and 2 is thrice the difference of the number and 2 find the numbers

Click here to see answer by josgarithmetic(39616)

Question 892215: A rectangular classroom seats 72 students. When the seats are rearranged with three more seats in each row, the classroom has two fewer rows. Find the original number of seats in each row.
Click here to see answer by lwsshak3(11628)

Question 892234: Solve the equation. Round the solutions to the nearest hundredth, if necessary.
-t^2 + 2t + 15 = 0
Click here to see answer by LinnW(1048)

Question 892234: Solve the equation. Round the solutions to the nearest hundredth, if necessary.
-t^2 + 2t + 15 = 0
Click here to see answer by richwmiller(17219)

Question 892248: How do I complete this square:
a^2-5a=-4

Click here to see answer by Alan3354(69443)

Question 892250: Im having problems with this equation:
Two sets of quadratic expressions are shown below in various forms:
Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25
Line 2: x2 + 5x + 6 (x + 2)(x + 3) (x + 2.5)2 + 6.25
Which line contains three equivalent expressions?

Line 1 only
Line 2 only
Both Line 1 and Line 2
Neither Line 1 nor Line 2

Click here to see answer by Edwin McCravy(20054)

Question 892563: Determine where f(x) intersects the x-axis.
f(x)=(x−4)^2
−9
The function intersects the x-axis where f(x)=0, so solve the equation:
(x−4)
2
−9=0
Click here to see answer by Fombitz(32388)

Question 892542: By forming and solving an equation find a positive number, or numbers, which satisfy the condition that the sum of a number and its square is 56
Click here to see answer by Fombitz(32388)

Question 892510: QUADRATIC ORNOT QUADRATIC? The Length of a swimming pool is 8m longer than its width and the areais 105m2. don't solve it write the problem in a mathematical sentence thanks :)
Click here to see answer by ankor@dixie-net.com(22740)

Question 892670: Hello
I need to solve:

and
greater than or equal to 0.
I know these are quadratic equations and I may be able to solve by completing
square or applying it into the quadratic equation, but I'm having a little
trouble solving it that way.
Thanks
Click here to see answer by josgarithmetic(39616)

Question 892613: Solve the equation. Round the solutions to the nearest hundredth, if necessary. 9x^2 +4x+7=3x^2 -8

Click here to see answer by Fombitz(32388)

Question 892835: Write x^2-6x+7=0 in the form (x-a)^2=b! where a and b are intergers
Click here to see answer by AnlytcPhil(1806)

Question 892906: Completing the square
1. X^4+64y^4
2. X^4+y^2+5
3. X^4-11x^2y^2+y^4
Please do help me, thanks! =)
Click here to see answer by Fombitz(32388)

Question 892919: Completing the square
1. X^4+64y^4
2. X^4+y^2+25
3. X^4-11x^2y^2+y^4

Please do help me,
My teacher's solution goes like this, and I didn't even understand cuz he's too fast.
Ex. x^4+2x^2y^2+9y^4
x^4+9y^4+2x^2y^2
x^4+2x^2(3y^2)+9y^4+2x^2y^2-2x^2(3y^2)
X^4+6x^2y^2+9y^4+2x^2y^2-6x^2y^2
(x^2+3y^2)^2-4x^2y^2
(x^2+3y^2)^2-(2xy)^2
(x^2+3y^2+2xy)(x^2+3y^2-2xy)

Click here to see answer by dkppathak(439)

Question 892921: Pleasee helpp me
Prime Odd Powers
1. x^9+1
2. x^9+y^9
Click here to see answer by Alan3354(69443)

Question 892926: Must solve using the quadratic formula: . So far, I have gotten , but I don't know how to simplify it further.
Click here to see answer by richwmiller(17219)

Question 892928: Combination of Methods
1. x^3+x^2-2
2. 8x^3+4x^2-12
3. x^3+8+y^3+y
Click here to see answer by Alan3354(69443)

Question 892746: A farmer is fencing a rectangular area for his farm using the straight portion of a river as one portion of the rectangle. If the farmer has 2400 feet of fence, find the dimension of the rectangle that gives the maximum area for the farm.
Click here to see answer by lwsshak3(11628)

Question 892918: Completing the square
1. X^4+64y^4
2. X^4+y^2+25
3. X^4-11x^2y^2+y^4

Please do help me,
My teacher's solution goes like this, and I didn't even understand cuz he's too fast.
Ex. x^4+2x^2y^2+9y^4
x^4+9y^4+2x^2y^2
x^4+2x^2(3y^2)+9y^4+2x^2y^2-@x^2(3y^2)
X^4+6x^2y^2+9y^4+2x^2y^2-6x^2y^2
(x^2+3y^2)^2-4x^2y^2
(x^2+3y^2)^2-(2xy)^2
(x^2+3y^2+2xy)(x^2+3y^2-2xy)

Click here to see answer by KMST(5328)

Question 893140: If a train travels 5 km/h faster than its normal speed, it would take 1 hour less to
travel 210 km. What is the normal speed?
Based on Quadratics
Click here to see answer by lwsshak3(11628)

Question 893174: Hi,
Do all parabolas have to cross the x-axis two times why or why not?
Click here to see answer by josgarithmetic(39616)

Question 893174: Hi,
Do all parabolas have to cross the x-axis two times why or why not?
Click here to see answer by richwmiller(17219)

Question 893180: Hello,
How do I solve this fraction problem with a mixed number?
5/8 + 1 7/9 + 3

I'm think the LCD is 72, but I don't know where to go from there. Thanks:)
Click here to see answer by josgarithmetic(39616)

Question 893301: Hello,
Could someone show me how I solve for x on this one? Please provide step by step so I know how you got the answer. This is a fraction problem: 3x is over the 5 as a fraction and 1 is also over the 3
3x/5 - = x + 1/3

Thanks so much:)
Click here to see answer by josgarithmetic(39616)

Question 893352: Hello,
Not sure how to find the solution to this: The number 297 is 24 3/4% of which number? The answer is 1,200. I just have no idea how it was solved! Can someone please tell me how to solve a problem like this step by step?
Thanks
Click here to see answer by josgarithmetic(39616)

Question 893361: Help? Im kinda confused on this one:
Find three consecutive integers such that the product of the first and the third is 20 more than the second.(Application of Quadratic function.)
I've tried with
xz=y+20
or
(a sub 1)(a sub 3)= (a sub 2)+ 20
but cant derive any equations for the three variables
Click here to see answer by josgarithmetic(39616)

Question 893503: the question is: Find the vertex, discuss the transformation from the parent graph and state the roots of f(x)=x^2+12x+35
Click here to see answer by lwsshak3(11628)

Question 893667: How do you get -10/3=-10/3 from the following?
(-4/3)+(-2)=(-1)-(7/3)
Click here to see answer by Fombitz(32388)

Question 893691: Solve the formula for specified letter.
p=2, for t
Click here to see answer by Alan3354(69443)

Question 893691: Solve the formula for specified letter.
p=2, for t
Click here to see answer by MathTherapy(10551)

Question 893761: if a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t)= -16t[square] +128t (if air resistence is neglected). How long will it take for the rocket to return to the ground? After how many seconds will the rocket be 112 feet above the ground? how long will it take the rocket to hit its maximum height? What is the maximum height?
Click here to see answer by lwsshak3(11628)

Question 893825: A quadratic equation has an x intercept at 2.5 and 5 and a y value y=-2.25. Use any valid method to calulate the equation of the quadratic in the form y=ax^2 +bx+c
Click here to see answer by lwsshak3(11628)

Question 894032: In a two digit number, the ten's digit is bigger. The product of the digits is 27 and the difference between two digits is 6. Find the number...
Answer is given i.e. 93.

Click here to see answer by richwmiller(17219)

Question 894092: The sum of the digits of a certain two-digit number is 15 while the product is 56. Find the numbers involving quadratic equation.
Click here to see answer by Fombitz(32388)

Question 894148: Modern personal computers can perform one operation in 5*10^-10 second. How many operations can such a computer perform in 1 minute? answer in scientific notation.
Click here to see answer by Alan3354(69443)

Question 894164: Hello. Please help me solve this equation 9x27+2x31-28. Thank you!!
Click here to see answer by Alan3354(69443)

Question 894354: |2x�5-14�30+x�15|> 0
Click here to see answer by Fombitz(32388)

Question 893272: How do I write an algebraic expression with five terms, containing the coefficients 12, 15, 18, and 21

Click here to see answer by Fombitz(32388)

Question 894385: Solve the equation using the quadratic formula.
x^2-3=square root of 5 times x

Click here to see answer by Alan3354(69443)

Question 894560: In the latest class reunion of HS '70, a certain number of succesful alumni promised to donate equally for a new school project amounting to $240 000.00. Four of them failed to provide the certain amount of money. Hence, each of the remaining alumni had to pay $3 000.00 more to produce the sum. How many alumni had promised to pay originally?

Click here to see answer by MathTherapy(10551)

Question 894615: Is it all equation that can be cross checked becos am confuse when i solve this equation "4x^2+8x-3=0" using completing the square method and i get 1 or-3. But i d LHS is nt=RHS. WHY?
Click here to see answer by Theo(13342)

Question 894612: a father was 30 years old when his daughter was born and the product of their present ages is 736. how old are they now? explain your answer
Click here to see answer by Alan3354(69443)

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