In questions 6 - 10, solve the quadratic equation by graphing.

11. Write a quadratic equation that will have solutions of x = 3 and x = -7.

12. Write a quadratic equation that will have solutions of x = 12 and x = 2.

13. Write a quadratic equation that will have solutions of x = -1/2 and x = 4.

14. Write a quadratic equation that will have a solution of only x = 0.

15. Write a quadratic equation that has no solutions.

16. The product of two consecutive positive integers is 72. Find the integers.

17. The product of two consecutive negative integers is 10506. Write a quadratic equation that you could solve to find the integers.

18. A tennis ball is launched with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:

19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)

t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.

20. Using the same equation, determine when the ball is at a height of 49 meters.

How do you solve these? Please show steps.
1) Simplify
3rd order radical of - (64), that is the cubic root of (-64)
2) Solve by completing the square (Don't forget the "i")
2x^2 + 4x + 6 = 0
3) Solve by quadratic formula
(2x -1)(x - 4) = 39
4) Solve by quadratic formula

Write a quadraticequation (see attachment)
How do you know if a quadraticequation will have one, two, or no solutions? How do you find a quadraticequation if you are only give the solution? Is it possible to have different quadraticequations with the same solution? Explain. Provide your classmate's with one or two solutio

Explain the four steps used in solving the quadraticequation
Given a quadraticequation: ax ² + bx + c
Solve the equation for zero by factoring.
Four Steps to solve by factoring using the following example
y=x2 + 2x + 1, note; a=1, b=2, and c=1

A step-by-step procedure is given for applying the quadratic formula to solve for x. The quadratic formula considered is as follows: x^2-x-6=0. In this example, the quadratic formula is presented accompanied by an explanation of the meaning for each term. The process is shown for assigning values to each element in the quadrat

Explain the four steps for solvingquadraticequations? Can any of the steps be eliminated? Can any of the steps be changed? Would you add any steps to make it easier, or to make it easier to understand?

(see attached for full problem description)
(a) Use the quadratic formula to determine, to the nearest tenth, the roots of the equation:
2x^2 + 1 = -4x.
(b) Determine the vertex of the parabola y = 2x^2 + 4x + 1. (recall the x value of the vertex is given by x = -b/2a)
(c) Use parts a and b to sketch the grap

1) I am trying to solve the following quadraticequations that I have been studying for a test.
a) x^2+7x+10=0
b) 2x^2-3x-2=0
2) Compute the discriminant of the quadraticequation 3x^2+x+2=0, then write a brief sentence describing the number and type of solutions for this equation.

Using the quadraticequation y = x2 - 6x + 8 = 0, perform the following tasks:
a)Solve by factoring,
b)solve by completing the square,
c)solve by using the quadratic formula

1. There are four different methods to solve quadraticequations.
(a) List all 4 methods.
(b) Explain and give an example of 3 of those methods.
(c) Explain which method is preferred and why.
2. Solve the following problems.
a) Solve by using the even-root property.
3x - 5 = 16
b) Solve by using the follo

In using the factoring method of solvingquadraticequations, we put it in the form:
(x+a)(x+b) = 0, where a and b are two constants (think of them as two `numbers').
If the right-hand side of this equation is not zero (let us say, another constant "c"), do you think it can be solved? If so, how? If not, why not?