Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 66194: If the product of two consecutive odd integers is decreased by one-third the lesser integer, the result is 250. Find the integers.

Click here to see answer by checkley71(8403)

Question 66235: Please help!
Find m :
c/a + d/m+x = ac
Click here to see answer by checkley71(8403)

Question 66240: please help to simplify
3i - 5
DIVIDED BY
-i^3 + 3i^2
Click here to see answer by Edwin McCravy(20054)

Question 66240: please help to simplify
3i - 5
DIVIDED BY
-i^3 + 3i^2
Click here to see answer by ptaylor(2198)

Question 66236: PLease help to simplify
cx
DIVIDED BY
1 - cx/c - x/c
Click here to see answer by Edwin McCravy(20054)

Question 66230: Please help!1
Find gh(-4) if g(x) = x + 4; d = {reals}, and h(x) = x^2 - 6; d = {integers}
Click here to see answer by funmath(2933)

Question 66260: For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.

b) What is the equation for the line of symmetry for the graph of this function?
Answer:

c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show graph here.

Explanation of graphing.

d) Describe how this graph compares to the graph of y = x2?
Answer:

Click here to see answer by funmath(2933)

Question 66275:
How do I factor this
Click here to see answer by checkley71(8403)

Question 66274:
How do I factor this
Click here to see answer by checkley71(8403)

Question 66274:
How do I factor this
Click here to see answer by Earlsdon(6294)

Question 66256: I'm having a hard time with this. Please help!
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks:
a) Solve by factoring.
Answer:

Click here to see answer by checkley71(8403)

Question 66273:
Click here to see answer by stanbon(75887)

Question 66259: I'm having a hard time with this problem. Please help!
Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.
Answer:

Click here to see answer by checkley71(8403)

Question 66258: Im having a hard time with this problem. Please help!

Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
� 16 represents �g, the gravitational pull due to gravity (measured in feet per second 2).
� v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
� s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
Answer:

b) The ball will be how high above the ground after 1 second?
Answer:

c) How long will it take to hit the ground?
Answer:

d) What is the maximum height of the ball?
Answer:

Click here to see answer by Earlsdon(6294)

Question 66247: Please help me solve this equation. "Find a, b, and c so that the parabola whose equation is y=ax^2+bx+c has its vertex (3,2) and passes through the point (-1,10)". I have tried plugging in the point, but I cannot seem to figure it out. Thank you.
Click here to see answer by ankor@dixie-net.com(22740)

Question 66272: 12m^3-8m^2-15m=0
how do I factor this
Click here to see answer by Nate(3500)

Question 66257: I'm having a hard time with this problem. Please help!
2) For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:

Click here to see answer by Nate(3500)

Question 66304: I'm having Problems with this question. Please help.
1) Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks
b) Solve by using the quadratic formula.
Answer:

Click here to see answer by funmath(2933)

Question 66328: Please help to
Write -3R - 7U in polar form
Click here to see answer by stanbon(75887)

Question 66424: what is the value of K for 2x+ky=5 if this
equation is perpendicular to 3x+y=-2?
Click here to see answer by uma(370)

Question 66493: Please help me solve this problem.

Toward the end of the principals' meeting for the Drug-Free Community campaign project, a total of 21 handshakes were exchanged. Assuming each principal shakes hands once with the other principals, how many principals were present?
Click here to see answer by josmiceli(19441)

Question 66492: Please help me answer this question.
A wire 36 m long is cut into two pieces. Each piece is bent to form a rectangle which is 1.0 m longer than it is wide. How long should each piece to be minimize the sum of the areas of the two rectangle?
Click here to see answer by stanbon(75887)

Question 66575: Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.
Click here to see answer by venugopalramana(3286)

Question 66620: I'M HAVING A REALLY HARD TIME TRYING TO FIGURE THIS OUT. PLEASE HELP.
When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation. In the real world, where might these imaginary numbers be used?

Click here to see answer by stanbon(75887)

Question 66694: Solve. 10x-0.62=9(x-0.95)
Click here to see answer by Nate(3500)

Question 66067: please help to simplify
a
DIVIDED BY
b + 1/1 + c/x
Click here to see answer by rapaljer(4671)

Question 66772: Which statement is true for the quadratic equation 0 = -2x^2 - 9x - 4?
I have gotten to the point of -2x^2 - 9x 4 = 0, but I don't know what to do next. My answers are: A. The product of the roots is 4/9
B. The product of the roots is -2.
C. The sum of the roots is 9/2.
D. The sum of the roots is -9/2
I do know that C is not a correct answer (my teacher told me so). THANKS
Oh, by the way I don't have a textbook pg. because our teacher just gave us the problems on paper.
Click here to see answer by Earlsdon(6294)

Question 66879: Use the quadratic formula to solve the problem.
x^2+4x-3=0
Click here to see answer by ankor@dixie-net.com(22740)

Question 67009: Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
Answer:
Show work in this space.

Click here to see answer by stanbon(75887)

Question 67094: why is it that when 0 is your number under the square root sign in the quadratic formula, you can only have one answer. How can you tell which of the two answers that you would get is the right one?
Click here to see answer by stanbon(75887)

Question 67147: Hi,
I seem to be having problems plotting a quadratic graph.
I have the following formula
pi r^2 + 180r - 6000 = 0
My two values for r are r(x) = 29 or r(x) = -64
However, when creating a table to create the graph, I am getting very strange values to plot the Y axis with. Such as:
r(x) = -64 so y = -30388 while r(x) = 29 y = 1862
Which in turn does not give the desirable "U" shape quadratics graph but more like a linear straight line graph.
Any help would be much appreciated
Thanks
Shaun Halliday
Click here to see answer by ankor@dixie-net.com(22740)

Question 67212: help me solve quadractic equations by graphing

2x(squared) + 4x= 6
Click here to see answer by stanbon(75887)

Question 67257: solve by completing the square. Check Both roots.
x^2-x=3/4
2x^2-9x-5=0
Click here to see answer by josmiceli(19441)

Question 67312: Solve by completing the square :
25 + x^2 = 8x
Click here to see answer by checkley71(8403)

Question 67306: Please help to solve :
2x + 3y - 2z = -3
x + 9y - 2z = 3
3x + 6y + 2z = -1
Click here to see answer by venugopalramana(3286)

Question 67302: PLease help to factor
64a^3c^6 - 27x^9
Click here to see answer by Earlsdon(6294)

Question 67424: Can you please help me this exponental problem: x^2=6x-8? Thank you!
Click here to see answer by ptaylor(2198)

Question 67503: An ecological center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2 Find the dimension of the garden
Click here to see answer by stanbon(75887)

Question 67474: 1) x squared+5x+6=o
2) x squared-4x+3=0

Click here to see answer by checkley71(8403)

Question 67474: 1) x squared+5x+6=o
2) x squared-4x+3=0

Click here to see answer by meg1650(2)

Question 67539: Solve the following equation for x. [Do not report answers in decimal � leave them in radical form, and be sure to simplify radicals.
25x^2 = 13
Click here to see answer by 303795(602)

Question 67542: Find two consecutive positive integers such that the sum of their squares is 85. [You must use algebra to solve this, setting up an equation with a variable, and using algebra to solve for the variable.]
This one has me so confused. I need help, please????
Click here to see answer by 303795(602)

Question 67543: A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft2, what is the width of the path? Give your answer in decimal form, rounded to the nearest thousandth.

Click here to see answer by aaaaaaaa(138)

Question 67544: Solve the following quadratic equation by completing the square:
2x^2 +10x + 11 = 0

Click here to see answer by venugopalramana(3286)

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