Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 605913: How do you graph a parabola? What are 2 key points of a parabola and how do you find them?
Click here to see answer by lwsshak3(6505)

Question 605956: how do you find the vertex of the parabola for the quadratic equation
y=x^2-2x-35
Click here to see answer by scott8148(6628)

Question 605997: Please help me solve this equation, I'm trying to help daughter but am totally lost. She says they dont use discriminates: .

Click here to see answer by Alan3354(30993)

Question 605972: If an object is dropped a height of 400 ft, the function h(t) =-16 + 400 gives the height of the object after t seconds. when will it hit the ground?
Click here to see answer by Alan3354(30993)

Question 606060: Word problems STRESS me out!!! Please help!
A farmer decides to enclose a rectangular garden using the side of the barn as one side of the rectangle. What is the maximum area the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?
THe maximum area the farmer can enclose with 100ft of fence is ___ sq. ft?
The dimensions of the garden to give this area is 50ft by ___ ft?
Click here to see answer by jim_thompson5910(28595)

Question 606058: These are difficult to figure out. Can someone please explains these to me?
1.) 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
The solutions are -10, 1
The equation is ____ = 0
2.) Solve:
x^2 - x + 10 = 0
Click here to see answer by Alan3354(30993)

Question 606086: Quadratic equations are not my strong suit and I recently failed a quiz based on them. My re-take is coming up and I could really use help. My problem is I forget easily how to do the steps. Could you maybe work out a few easy problems and a few hard problems? So I know how to work both? Please and Thank you!
Click here to see answer by richard1234(5390)

Question 606203: Solve: C=3t+4/t for t
Click here to see answer by stanbon(57347)

Question 606171: solve: X2+8x+5=0
a. -4 + or - 2 square root 11
or is it
x. -4 + or - square root of 11
Click here to see answer by lynnlo(4164)

Question 606331: What Makes A Quadratic Function Equation diffrent from other eqations?
Click here to see answer by Edwin McCravy(8909)

Question 606570: Liz drops a marble from the top of a cliff 96 feet off the ground. The height
of the marble is described by the quadratic equation h = -16 t square + 96
where h is the height in feet and t is the time in seconds. Find the time t
when the marble hits the ground. Round to the nearest hundredth.
Thanks very much !
Click here to see answer by nerdybill(6959)

Question 606551: Hello Math peoples,
I would really appreciate some help on the forming and solving a quadratic equation.
THe Question is : " Subtracting a squared number from 68 gives the same result as doubling the number"
So I endeavoured to solve and got 68-x^2=2x
-x^2-2x+68=0
Am I forming the correct equation ?
Many thanks

Click here to see answer by KMST(1868)

Question 606647: How do you solve for a vertex when B is not given. i know how to do it when it is ax^2+bx+c, but i dont know what to do when its just ax^2+c
Click here to see answer by ewatrrr(10682)

Question 606047: Would someone please help me with this problem:
Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function:
f(x)= 1/3(x+5)^2 + 3

Click here to see answer by ewatrrr(10682)

Question 606745: I am confused. Would someone please check this problem out and clarify the correct answer for me? I submitted the problem and two different tutors on this site have given me different answers. Now I do not know which answer is correct.
the problem is:
find the vertex, the line of symmetry, and the max or min value of f(x), then graph the function.
f(x) = 1/3(x+5)^2 + 3
I received the answer:
vertex: (-5, 3)
line of symmetry: x = 5
and, 3 as the minimum value of f(x)
one tutor said the line of symmetry is -5, and the other said it is 5
Click here to see answer by richwmiller(9135)

Question 606828: Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway
musicals has started to tour, and your city is the first stop on the tour. 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. ( is the day tickets go on sale).
-0.2x^2+12x+11=0

1. What general shape will the graph of this equation take? Does the graph of this equation open up or down? How can you determine this just from looking at the equation? The equation goes down because the coefficient of is a negative.

2. Think about the line as it would appear when graphed. What does the value of x represent? What does the value of y represent? What does the general shape of the curve tell you about how ticket sales change across time? As time passes, the sales of the tickets will increase, hit the highest point and then decrease down to zero.
3. Use the discriminant to determine how many solutions there are to the equation . Show your work.
Since the discriminant is greater than 0, the equation has two unequal real solutions.
4. Find the solution(s) to the equation. Is your answer in (c) correct?
5. What, in terms of days and tickets sales, do the solutions represent? Is there a solution that doesn’t make sense? If so, in what ways does the solution not make sense?

Click here to see answer by solver91311(16885)

Question 606854: I am using the discrminant, but there is no B help!
Click here to see answer by rfer(12660)

Question 606858: Consider a quadratic function that has a minimum value of -6, and x-intercepts at (-6,0) and (0,0).
A)Determine the equation of the quadratic function. Show or explain your work.

....please help me! I really want to understand how to do this. I'm not sure how and what the answer would be.
Click here to see answer by stanbon(57347)

Question 606909: Hello! I need to solve this equation by completing the square:
5x^2+15x-1 =0
I know that the answer is -15-7√5/10, -15+7√5/10, I just don't know how to show all of the work. I know that I divide everything by 5, and you have a 3x. Then, take half of then and then square it (leaving it as a fraction).
This is due in the morning and I'm stuck. I'd appreciate help! Thanks!
Click here to see answer by Alan3354(30993)

Question 606965: Solve the equation by completing the square.
2x^2-x-2=0
What I've tried
2x^2-x-(1/2)^2=2-(1/2)^2
(2x-(1/2))^2=(9/4)
2x-(1/2)=+/-(3/2)
2x=2 or -1
X=1 or -(1/2)
Please show all steps.
Click here to see answer by Alan3354(30993)

Question 607020: If (x-4) (x+3)=0 which is the greater of the two roots?

Click here to see answer by pahuja(2)

Question 607202: IF you have 2x^2-89-11 but there is no x after 89 and we are for surely suposed to be dealing with quadratic equations 89 still be the B in the ax^2+bx+c=0?
Click here to see answer by jim_thompson5910(28595)

Question 607228: 4x^2=5+8x
Click here to see answer by jim_thompson5910(28595)

Question 607271: x - 4x^2
Click here to see answer by lynnlo(4164)

Question 607269: x^3+16x^2
Click here to see answer by sophxmai(60)

Question 607290: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
-6x^2-9x+8=0
Click here to see answer by lynnlo(4164)

Question 606895: solve for x: 10 + 2
--- ---- =4
x+2 x+2
Click here to see answer by Nihal@SriLanka(21)

Question 607395: i need help simplifying this equation.. i always get a different answer. here's the problem: (-6 + 3i)^2
Click here to see answer by Alan3354(30993)

Question 607396: i need help with this one also
f(x) = (x+2)^2-3

also, need to know how to graph the function and find the vertex.
Click here to see answer by Edwin McCravy(8909)

Question 607488: How would i solve t^2 = 144 and graphing it.
Click here to see answer by asuar010(324)

Question 606890: 3x^2+19x=154
Click here to see answer by asuar010(324)

Question 607536: Hi,
I want to know if this is correct please.
x^2+20=8x
I have to type the answer in a+bi form, which I am not sure if this is right or I have to put the * sign before the i.
x= 8+4i/2, 8-4i/2
Thanks,

Click here to see answer by alicealc(281)

Question 607530: Hi,
Can someone help me please? I am completely lost.
8x+x(x-2)=0
I need the solutions of x
and the x intercepts of f(x)=8x+x(x-2)
Thanks so much
Click here to see answer by alicealc(281)

Question 607525: Please help.me .solve this equation . x² +12x - 64 =0
Click here to see answer by alicealc(281)

Question 607524: Please help.me .solve this equation . x² -2x -13 = 0
Click here to see answer by alicealc(281)

Question 607650: Hello,
I need to write a quadratic equation having the given numbers as solutions
-3,-1.
Thanks
Click here to see answer by Alan3354(30993)

Question 607617: How do you solve 5x squared plus 16x minus 84 equals 0 using the quadratic equation
How do you solve 4x squared minus 12x plus 9 equals 0 using the quadratic equation
Click here to see answer by KMST(1868)

Question 607754: Write a quadratic equation that has the following solutions.
a. 1 and -2
b. 0 and 3
Click here to see answer by jim_thompson5910(28595)

Question 607449: A jogger ran 9 miles in an hour. For the last 4 miles he jogged 2 mph slower than he did for the first 5 miles. How fast did he jog for the first 5 miles?
Click here to see answer by ankor@dixie-net.com(15652)

Question 607913: solve 3x^2=6
find the x intercepts for f(x)3x^2-6
Click here to see answer by lynnlo(4164)

Question 607971: Solve the following equation by completing the square. 7x^2-5x+2=0
Click here to see answer by lynnlo(4164)

Question 608095: The demensions of a certain computer monitor are such that it's length is thre inches more than it's width. If The length is incresed by one while the width stays the same, the area is increased by 13 square inches. What is the lenght and width?
also can you show me how to set this problem up to solve?
Click here to see answer by ewatrrr(10682)

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