Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 379391: How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate’s with one or two solutions with which they must create a quadratic equation.

Click here to see answer by Fombitz(13828)

Question 379481: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
f(x)= -(x+2)^2-4
Click here to see answer by robertb(4012)

Question 379478: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function.
f(x)=4x^2-8x+7
Click here to see answer by robertb(4012)

Question 379473: Find and label the vertex and the line of symmetry.
f(x)=5x^2
Click here to see answer by robertb(4012)

Question 379484: solve by completing the square.
m^2- 9/2m=3/2
Click here to see answer by mananth(12270)

Question 379270: How to factorize this equation (x-y)^2 - 2(x-y)
Click here to see answer by robertb(4012)

Question 379460: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function on paper.
f(x)=x^2-8x-1
Click here to see answer by richard1234(5390)

Question 379518: Each side of a square is 4 m long. When each side is increased by x m, the area is doubled. Find the value of x. Thank you!

Click here to see answer by unlockmath(1606)

Question 379544: simplify
5y^3/2y^-2
Click here to see answer by Jk22(389)

Question 379480: Determine the nature of the solutions of the equation.
y^2=2/3y+3/8
Click here to see answer by Fombitz(13828)

Question 379471: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
F(x)=-(x+2)^2-4
Click here to see answer by Fombitz(13828)

Question 379482: Give exact and approximate solutions to three decimal places.
x^2+7x-5=0
Click here to see answer by Fombitz(13828)

Question 379465: A) Solve 5x^2=35
B) Find the x-intercepts of f(x)=5x^2-35
Click here to see answer by Fombitz(13828)

Question 379726: Graph
y= -1/3(x+6)^2+3
Click here to see answer by ewatrrr(10682)

Question 379746: Solve the quadratic equation using the method that seems most appropriate to you.
Also, how do you know which method is best?
n^2 + 16n +63 = 0
Thanks in advance!
Click here to see answer by ewatrrr(10682)

Question 379796: F(x)=10x^2+40x+42 identify the y intercept and the axis of symmetry
Click here to see answer by Fombitz(13828)

Question 379886: write y=x^2-8x+19 in vertex form
Click here to see answer by robertb(4012)

Question 379909: Identify the X intercept in the graph y=3x^2 + 19x -40
Click here to see answer by robertb(4012)

Question 379862: Evaluate the function for the given values of a and b then use the intermediate value theorem to determine which of the statements below is true.
a=-1 and b =0
f(x)=6x^3-9x^2-7x+3
a).f(-1) and f(0) have the same sign, therefore the function f has a real zero between -1 and 0
b.)f(-1) and f(0) have opposite signs, therfore the function f does not have a real zero between -1 and 0
c.) f(-1) and f(0) have the opposite sign, therefore the function f has a real zero between -1 and 0
d.) f(-1) and F(0) have the same sign, therefore intermediate value theorem cannot be used to determine wheter the function f has a real zero between -1 and 0
Click here to see answer by robertb(4012)

Question 379966: I have to find the zeros or roots of each function or equation by factoring & graphing.
g(x)= 2x^2 - 25x + 12
2(x ) (x )
I know that the multiples of 12 should add up to -25 but there are none so I do not understand how to find the zeros by factoring
Click here to see answer by robertb(4012)

Question 379972: Write a quadratic function in standard form with zeros 6 and -1.
so would it be
0=6x -1?
Click here to see answer by stanbon(57424)

Question 379972: Write a quadratic function in standard form with zeros 6 and -1.
so would it be
0=6x -1?
Click here to see answer by robertb(4012)

Question 379999: Please help me! I am stuck and don't know if I'm doing this right and it's due tomorrow!!! I am confused when I am letting y=0 and solving for x using the quadratic formula... that is where I get stumped.
y=x^2-2x-2
I need to find the vertex and any two convenient points to sketch the graph. This is what I've done so far and I will note when I get confused.
Letting y=0
{0=-(2)+- sqrt(-2)^2-4(1)(2)all over 2}
then I end up with
{x=2+- sqrt(-4)} over 2
I do not know where to get next. Do I divide the 2 into the 2 and 4? Then that would give me -1 +- 2 right??? Then I would set them to zero and have my x points?
I have solved for y by letting x=0
y=o^2-2(0)-2
y=-2
(0,-2)
I have found the vertex by using: x=b/2(a)
x=2/2(1) y=(1)^2-2(1)-2
x=1 y= -3 giving me plots of (1,-3)
I really hope someone can help me. I know it is late but I have run out of resources. Thanks D.

Click here to see answer by jim_thompson5910(28598)

Question 380056: The problem is x(squared)-(minus)x-(minus)6
I figured out the solutions (x= -2, 3) by solving by factoring but when I try and do it by solving by the quadratic formula, I keep getting stuck. Can you please explain the steps to solve the problem using the quadratic formaula?
Click here to see answer by jim_thompson5910(28598)

Question 380058: I need help! This is due tomorrow! (It's 7th grade math by the way.)

The question says: Write an equation to find the value of x so that each pair of polygons has the same perimeter. Then solve.
1. A triangle has sides that say: x+6, x+9, and x+3. A rectangle beside it has sides that say x+4 and x+1.
2. A hexagon has sides that all read 5x. A triangle next to it has sides that say x+14, x+17, and 8x+9.
PLEASE help me!
Click here to see answer by Earlsdon(6291)

Question 380067: The problem is 6x(squared)+49x-45=0
I'm not sure if I'm solving this correctly, so could someone please help me step by step by either solving by factoring or solving by using quadratic formula. Thanks!
Click here to see answer by stanbon(57424)

Question 379912: The dimensions of Eric’s pool are 9 feet by 7 feet. He wants to build a walkway surrounding the pool so that the square footage of the walkway and pool is 143 square feet. How wide is one side of the walkway?
Click here to see answer by ankor@dixie-net.com(15667)

Question 380106: how would you solve a question if the asked you " solve thee equation a2+5a+2=0, giving your answer in 2 decimal places", i dont undersatnd how to give your answer in two decimal places
Click here to see answer by Alan3354(30993)

Question 380121: If the roots of x^2+kx+3=0 are real, find the smallest integral value of k.
How would you solve this?
Click here to see answer by stanbon(57424)

Question 380121: If the roots of x^2+kx+3=0 are real, find the smallest integral value of k.
How would you solve this?
Click here to see answer by richard1234(5390)

Question 380092: Multiply: (s + f)(s^2 - sf + f^2). I am not sure if I should factor the second equation out first.
Click here to see answer by robertb(4012)

Question 380165: Bob and Kevin both have square vegetable gardens. Kevin's garden is 10 feet longer than Bob's garden, and its area is four times the area of Bob's garden. What are the dimensions of Bob's garden?
Click here to see answer by mananth(12270)

Question 380170: how do I factor using a quadriclic formula
x2-3x+2=0
Click here to see answer by solver91311(16897)

Question 380312: solve the equation for y
10x-5y=25
Click here to see answer by ewatrrr(10682)

Question 380324: Hi All, Please can someone help

Derive the Maclaurin series for sin x as
sin x = x -x^3/3!+x^5/5! - ...
Hence write down the Maclaurin series for x sin x and sin 3x.
Thank You
Click here to see answer by richard1234(5390)

Question 380314: 6x-3y=-9
Click here to see answer by ewatrrr(10682)

Question 380346: -x^2+12x=36 by graphing the x intercept is?
Click here to see answer by ewatrrr(10682)

Question 380351: Please would someone help,
Obtain the Maclaurin series expansion about the point 0 for the function ln(x + 1) as
ln(x + 1) = x -x^2/2+x^3/3 - ...+ (-1)^n+1 x^n/n+ ...

Note that we cannot find a Maclaurin expansion of the function ln x since ln x does not exist at x = 0 and so cannot be differentiated at x = 0.

Thanks in advance
Click here to see answer by richard1234(5390)

Question 380364: - 3/2 and 2
Click here to see answer by Alan3354(30993)

Question 380367: I am so confused about my MAT 117 Appendix F. Can someone help me, any help would be appreciated.
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).
Tickets = x2 - 6x - 16
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?
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?
h. How many solutions are there to the equation x2 - 6x - 16? 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 richard1234(5390)

Question 380387: Please solve by factoring or by using the quadratic formula: 3x^2-11x+6=0

Click here to see answer by Jk22(389)

Question 380432: A plane traveled a distance of 800 miles and returned the same distance. If the rate returning is 40 miles per hour faster than the rate going, and if the total flight took 8 hours, how fast did the plane travel on the return trip?
Click here to see answer by stanbon(57424)

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