Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 30327: AX+BY=P
BX-AY=Q SOLVE FORX&Y

Click here to see answer by mukhopadhyay(490)

Question 30418: The Keypad and the viewing windowof the TI83 graphing calculator is rectangular. The length of the rectangle is 2cm more than twice the width, and the area of the rectangle is 144cm2. Find the length and the width.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30561: Solve the problem
You have 188 feet of fencing to enclose a rectangular region. What is the maximim area?
How do I even get started here?

Click here to see answer by checkley71(8403)

Question 30560: Solve the equation by making an appropriate substitition.
x^4 - 14x^2 - 32 = 0
Thanks for helping me.
Click here to see answer by AnlytcPhil(1806)

Question 30560: Solve the equation by making an appropriate substitition.
x^4 - 14x^2 - 32 = 0
Thanks for helping me.
Click here to see answer by checkley71(8403)

Question 30559: Solve using the method of your choice. Simplify if possible.
(3x + 5)^2 = 6
thanks for all your help.
Click here to see answer by Cintchr(481)

Question 30563: Solve the problem.
An object is propelled vertically upward rom the top af a112-foot building. the quadratic function s(t) = 16t^2 + 176t + 112 models the ball's height above the ground, s(t), in feet, t seconds after it was thrown. How many seconds does it take until the object finally hits the ground. Round to the nearest tenth of a second if necessary.
Please help me. I am just not getting this. Thank you.
Click here to see answer by mbarugel(146)

Question 30565: Solve the rational inequality and graph the solution set in a real number line.
x - 6/x+ 0 > 0
Thanks!!!!!
Click here to see answer by Nate(3500)

Question 30582: I have to know how to find X and y intercepts algebraically and graphically. I have to give 2 examples on how to do them. and explain it. Please help.
Thank you
Click here to see answer by venugopalramana(3286)

Question 28728: Find the value or values of x in the quadratic equation x^2 = 6x-9
Click here to see answer by checkley71(8403)

Question 28732: Which of the following are the factors of x^3 + 3x^2?
Click here to see answer by checkley71(8403)

Question 28732: Which of the following are the factors of x^3 + 3x^2?
Click here to see answer by Nate(3500)

Question 28711: Find the value or values of n in the quadratic equation 2n^2-7n+6=0
Click here to see answer by checkley71(8403)

Question 28729: Find the value or values of y in the quadratic equation y^2+4y+4=7
Click here to see answer by checkley71(8403)

Question 30601: Can you tell me what I did wrong with this problem
m2-2m=15
m2-2m-15=0
(m+3)(m-5)
Click here to see answer by Cintchr(481)

Question 28634: Please help me solve this equation: .
Click here to see answer by checkley71(8403)

Question 30613: Solve each quadratic equation by factoring and applying the 0 product principle.
2x^2-x=1
answers= -5,2
3x^2-7x=0
answers= 0,7/3
Could someone please write out the steps for me?
Thank you!
Click here to see answer by Nate(3500)

Question 30248: show the value
f(x)=-3(x+2)^2+3
Click here to see answer by Nate(3500)

Question 28731: What is the greatest common factor of the terms 14c^2d and 42c^3d?
Click here to see answer by Nate(3500)

Question 30184: i need to complete the square to write the equation so that the right side is in the a(x-H)2 or (square) form and give a graph for the function. p(x)=2x square-2x-24. I tried to do it by dividing by the common factor of 2(x-1)-12,but the answer in the book is, p=2(x-1/2)2 (square)- 49/2 or (.5-24.50 how did they get this. thank you sadie
Click here to see answer by venugopalramana(3286)

Question 30195: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.
1. Let .
a. Plot z in the complex plane.
b. Compute |z|.
c. What is the angle between the real axis and the line segment joining 0 and z? (Hint: think reference triangle.)
Click here to see answer by venugopalramana(3286)

Question 30207: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.
Solve for t: 2t(sin(t2+1) + cos(t2+1))2 - 4tsin(t2+1)cos(t2+1) = 2. (Hint: remember that [sin(x)]2 is usually written sin2(x); now look for a trigonometric identity.)
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30638: write the equation of a parabola that opens downward with an axis of symmetry of x=5/2. include a graph of the parabola
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30642: I need to know the vertex and how to graph it. Thank you.
y=-2(x-3)(x+1)
Click here to see answer by Fermat(136)

Question 30649: The length of a rectangular garden is 5 feet greater than the width. The area of the rectangle is 300 square feet. Find the length and the width.
Click here to see answer by Paul(988)

Question 28993: This is a quadratic function problem please show me the steps

John has 128 meters of fencing material with which he wants to make a rectangular pen. If he uses the side of his house as one of the walls, find the nmaximum area he can enclose and the dimensions.
Click here to see answer by checkley71(8403)

Question 30689: This is my original question and I keep coming up with the same answer as the tutor but my book says the answers are -5 and 2. Is that possible?
2x^2-x=1 original equation
2x^2-x-1=0 set the equation to zero
2x^2-2x+x-1=0 the product leading coefficient and the constant is -2 (two numbers that add up to -1 and are multiplied to get the -2 is: -2 and 1)
(2x^2-2x)+(x-1)=0 start to combine
2x(x-1)+1(x-1)=0 take out the factors
(2x+1)(x-1)=0 set them to zero
2x+1 = 0 ; 2x = -1 ; x = -1/2
x-1 = 0 ; x = 1
1 and (-1/2) are your answers
Click here to see answer by Earlsdon(6294)

Question 30763: Publishing costs. The cost, in dollars, of publishing x books is C(x)=40,000+20x+0.0001x^2. How many books can be published for 250,000?
Do I set 40,000+20x+0.0001x^2=250,000 then subtract the 250,000 so the equation =0 and then use the quadratic formula to solve? Could someone show me the correct equation for this problem?
Thank you!
Click here to see answer by mbarugel(146)

Question 30765: Solve the quadratic equation by using the quadratic formula.
This is what I get:
2x^2+4x=-1
2x^+4x+1=0
x=[-(4)+or- sqrt(4)^2-4(2)(1)]/[2(2)]
x=[-4+or-sqrt16-8]/4
x=[-4+or-sqrt8]/4
my answer x=[-4+or-2sqt2]/4
my bookk says its:
x=[-2+or-sqrt2]/2
How do they get there?
Click here to see answer by mbarugel(146)

Question 30795: Question:
The area of a rectangle is 4m^2 and its length is 3m longer that its width. Find the dimensions of the rectangle.
Click here to see answer by troyapplehelen(46)

Question 30792: Please help.
the Question is : find the x and y intercepts for the graph of the equations.
Y=2x^2-9x=4. A graph in included in the question.
the method that is being used by my teacher is where we solve for y( crosses y axis when x=0). In this case y=4. But i get confused factorising to find x.

Click here to see answer by troyapplehelen(46)

Question 30794: This question is really confusing, my tutor ended up answering it in class but everyone was still kinda dazed when we left class. Will you please try to explain or solve this in a manner that is within a students grasp.
Question:
When the first n positive integers are added together, their sum is given by:
1/2n(n+1)
a) Demonstrate that this result holds for the case n=5.
b) Find the value of n for which the sum is 105.
c) What is the smallest value of n for which the sum exceeds 1000?
The chapter we are working on is based on factoring. Please help.
Click here to see answer by Fermat(136)

Question 30641: What the vertex and how to graph it. Please and Thank you.
y=-2(x-3)(x=1)
Click here to see answer by troyapplehelen(46)

Question 30536: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.
1. Let .
a. Plot z in the complex plane.
b. Compute |z|.
c. What is the angle between the real axis and the line segment joining 0 and z? (Hint: think reference triangle.)
Click here to see answer by venugopalramana(3286)

Question 30981: Fireworks are shot upward with an initial velocity of 30 feet per second from a platform 3 feet above the ground. How long will it take the rocket to hit the ground?
Click here to see answer by Paul(988)

Question 30982: A person springs off a 12 foot high diving board with a 0.0 initial velocity. How many seconds does it take for the person to hit the water?
Click here to see answer by Nate(3500)

Question 30990: how do you solve this equation? (x-7x)squared=5=0 its a quadratic equation(completing a square)
Click here to see answer by ikdeep(226)

Question 30991: will you please solve this equation? xSquared-7x+5=0(Completing a square)
Click here to see answer by Fermat(136)

Question 30987: Solve equation

Click here to see answer by ichudov(507)

Question 31093: What is the minimum product of two numbers whose difference is 4? What are the numbers?
This is a far as I got...
x(x+4)
x^2+4x+c=0
-4/2=-2
2^2+4(-2)+c=0
4-8+c=0
-4+c=0
c=4
x^2+4x+4=0
(x+2)(x+2)
x=-2 and -2+4=2
This is where I realize that something is not quite right...
Click here to see answer by venugopalramana(3286)

Question 31181: Could you solve something like:
3x^2+8x+92

Click here to see answer by longjonsilver(2297)

Question 31185: the larger of two positive numbers is 5 more than the smaller. the product of the number is 36. find the number
Click here to see answer by Paul(988)

Question 31184: the larger of two positive numbers is 5 more than the smaller. the product of the number is 36. find the number
Click here to see answer by joey_quizan(15)

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, 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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, 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