SOLUTION: 1. Which of the following is a quadratic equation that has roots of 2 1/2 and 2/3? A) 5x^2 + 11x - 7 = 0 B) 6x^2 - 19x + 10 = 0 C) 5x^2 + 11x - 10 = 0 D) 6x^2 + 19x - 10 =

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Question 611159: 1. Which of the following is a quadratic equation that has roots of 2 1/2 and 2/3?
A) 5x^2 + 11x - 7 = 0
B) 6x^2 - 19x + 10 = 0
C) 5x^2 + 11x - 10 = 0
D) 6x^2 + 19x - 10 = 0

14. Solve by completing the square x2 - 6x - 4 = 0.
21. Solve by completing the square x2 - 2x - 5 = 0.

25. Solve by completing the square 3x2 - 8x - 6 = 0.

26. Solve the quadratic equation x2 + 8x + 12 = 0.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1. Which of the following is a quadratic equation that has roots of 2 1/2 and 2/3?
A) 5x^2 + 11x - 7 = 0
B) 6x^2 - 19x + 10 = 0
C) 5x^2 + 11x - 10 = 0
D) 6x^2 + 19x - 10 = 0
-------------------
(x - 5/2)*(x - 2/3) = 0
(2x - 5)*(3x - 2) = 0

--------------------------------
14. Solve by completing the square x2 - 6x - 4 = 0.





--------------------------
21. Solve by completing the square x2 - 2x - 5 = 0.
Same as #14
-------------
25. Solve by completing the square 3x2 - 8x - 6 = 0
Divide by 3, then same as #14
-----------------------
26. Solve the quadratic equation x2 + 8x + 12 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -2, -6. Here's your graph:
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