Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 174847: What is the greatest common factor of the terms 48s^5t^3u^2 and 40s^3tu^4?
Click here to see answer by Alan3354(69443)

Question 174924: The product of two consecutive even integers decreased by seven times the greater integer is 70. Find the two integers.
I started the problem off this way:
http://img229.imageshack.us/img229/8166/dtuyhsrxujt0.png
but now I'm lost, clearly. It looks like I'll be going into a degree of three, which doesn't make sense.
If you could perhaps show me where I went wrong, I'd really appreciate it. Thanks.
Click here to see answer by nerdybill(7384)

Question 175016: solve by completing the square -6x^2+48x-48=0
Click here to see answer by Mathtut(3670)

Question 175024: Write the equation of the quadratic whose one root is 2 - 5i
Click here to see answer by scott8148(6628)

Question 175029: Solve the equation and express its roots in simplest a + bi form:

2(x-3) = - 5 divided by x

Click here to see answer by stanbon(75887)

Question 175422: Can you please help with factoring perfect square?
Factor the quadratic expression: w^2-4w+4.
THANKS!
Click here to see answer by gonzo(654)

Question 175423: Can you please help me factor the quadratic expression?
y^2+10y+25
Click here to see answer by Mathtut(3670)

Question 175442: Can you please help me factor quadratic expression?
x^2+6x+9
Thanks!
Click here to see answer by Mathtut(3670)

Question 175446: suppose one dimension of the rectangle is 180 meters. What is the other dimension? What is the aera of the rectangle?
Click here to see answer by Mathtut(3670)

Question 175333: make a quadratic equation with the maximum value 10 and the x intercepts 1 and 3
Click here to see answer by ankor@dixie-net.com(22740)

Question 175608: Hello, I need some help with this problem:
Find the x intercepts of the quadratic equaiton

Thank you in advance.
Click here to see answer by EMStelley(208)

Question 175636: 2x^2+5x-3+0
Click here to see answer by vleith(2983)

Question 175636: 2x^2+5x-3+0
Click here to see answer by jim_thompson5910(35256)

Question 175738: Under what situation would one or more solutions of a rational equation be unacceptable?

Click here to see answer by solver91311(24713)

Question 175732: Why are there usually two solutions in quadratic equations?

Click here to see answer by Mathtut(3670)

Question 175726: 4(x+1)^2=64
Click here to see answer by Fombitz(32388)

Question 175872: X2-X-6=0 then X is
Click here to see answer by stanbon(75887)

Question 175871: (3x-2y)2
Click here to see answer by stanbon(75887)

Question 175899: 1. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( x=1 is the day tickets go on sale).

tickets= -0.2x^2 + 12x + 11
a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)
d. Will tickets peak or be at a low during the middle of the sale? How do you know?
They will peak in the middle of sales because the graph opens down.
e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e and f?
(0,11)
h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by stanbon(75887)

Question 172696: A water pipe of fixed length L has a carrying capacity that depends on the inner diameter of the pipe. The pipe initally has inner diameter D, but over many years, as mineral deposits accumulate inside the pipe, its carrying capacity is reduced.
a. give a quadratic function f(t) that models the carrying capacity of the pipe as a function of the thickness t of mineral deposits. Your function will be in terms of the constants D and L and the variable t. (HINT: the volume of a cylinder is pi*r^2*h)
b. show that f(1/4d)= 1/4*f(0), and my book says to make a diagram illustrating this fact. If you could make the diagram that would be great, but I would be satisfied with an explanation of what to put in the diagram and how it should look.

I would really appreciate any help on this problem!
Please and Thank you in advance.
Please explain step by step.
Click here to see answer by psbhowmick(878)

Question 176016: Al Bike shop design has determined that when x hundred bikes are built the average cost per bike is C(x)=0.6x^2-1.3x+5.971, when C(x)is hundreds of dollars. How many bikes should be built in order to have minimum cost?

Click here to see answer by nerdybill(7384)

Question 176110: If the length of the sides of a right triangle are consecutive multiples of three, then what is the hypotenuse
I got that the sides were 3x and 3x+3 and with the pythagorean theorem, I got an equation 18x(squared)+18x+9=c(squared)
Click here to see answer by stanbon(75887)

Question 176111: The formula gives the height h in feet of an object after t seconds. Here is the initial velocity of the object expressed in feet per second. Suppose a toy rocket was launched from the ground straight up with an initial velocity of 64 ft/sec. How many seconds after launch was the rocket 48 feet above the ground?
Click here to see answer by stanbon(75887)

Question 176161: This is 1 question with different parts any help would be great. Thank you
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x)=x^2-10x-3

Click here to see answer by solver91311(24713)

Question 176181: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solution: 3 (only solution)
I have no clue about this please help
thank you
Click here to see answer by Mathtut(3670)

Question 176177: Determine the nature of the solutions of the equation
x^2-x+7=0
One real?
Two non-real?
Two real?

Click here to see answer by Mathtut(3670)

Question 176187: Find the value or values of y in the quadratic equation y^2 + 4y + 4 = 7.
Click here to see answer by jim_thompson5910(35256)

Question 176182: Y^2-4y+4=36
What is the exact solution
What is the approximate solution

Click here to see answer by Fombitz(32388)

Question 176179: Give exact and approximate solutions to three decimal places.
X^2-7x+7=0
Exact solutions are
Approx. to 3 decimals are
Thank you for your help

Click here to see answer by Fombitz(32388)

Question 176176: Give exact and approximate solutions to three decimal places.
(x-4)^2=24
x=
(type an exact answer using radicals if needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed)
There are no approximate solutions since the solutions are integers
please help
Click here to see answer by solver91311(24713)

Question 176252: this is a 4th grade math problem: algorithms:
4 hrs 10 min
-2 hrs 25 min
____________________

Click here to see answer by stanbon(75887)

Question 176260: Which of the Following is a factored form of tthe epression 7x^2+10x-8
A. (x-1) (7x+8)
B. (x-4) (7x+2)
C. (x-8) (7x-1)
D. (x+2) (7x-4)
E. (x+4) (7x-2)
Click here to see answer by fulio1(4)

Question 176312: solve the equation by factoring.
2/3x^2+ 8 2/3x+20=0
Click here to see answer by MathTherapy(10549)

Question 176376: Find a quadratic equation with roots (4+i) and (4-i).
Click here to see answer by Mathtut(3670)

Question 176376: Find a quadratic equation with roots (4+i) and (4-i).
Click here to see answer by EMStelley(208)

Question 176377: Given x^3 - 4x^2 + 2x + 1 =0.
b. How many possible negative roots are there?
c. What are the possible rational roots?
d. Using synthetic substitution, which of the possible rational toots is actually a root of the equation?
e. Find the irrational roots of the equation. (Hint: Use the quadratic formula to the the depressed equation.)
Click here to see answer by Mathtut(3670)

Question 176363: I think this is quadratic equation...Please help. Thank you
Y^2-4y+4=36
What is the exact solution
What is the approximate solution
Click here to see answer by jim_thompson5910(35256)

Question 176362: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solution: 3 (only solution)
Any help would be much appreciated
Thank you

Click here to see answer by Mathtut(3670)

Question 176448: How do you solve quadratic equations. example- -2d squared - 5d+19=0
Click here to see answer by jim_thompson5910(35256)

Question 176455: This is related to quadratic equations and complex numbers. The equation is x^2+mx+n=0 One of the roots/solutions is 3+2i. What is the value of m?
Click here to see answer by EMStelley(208)

Question 176525: Which is equivalent to 1/25^1/3?
a0 5^-6
b) 5^-2/3
c) 5^2/3
d) 5^6 ??
Which is equivalent to 2^x-3/8^x?
a) 2^-3x-3
b) 2^-2x-3
c) 2^2x-3
d) 2^4x-3
Click here to see answer by stanbon(75887)

Question 176546: y=x^2-2x-1 graph the quadratic function. label the vertex and axis of semitry.
Click here to see answer by jim_thompson5910(35256)

Question 176561: Solve 2x^2-6x-3=0
Click here to see answer by edjones(8007)

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, 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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