SOLUTION: Which quadratic equation has roots 7 and -2/3? a) 2x^2 - 11x - 21=0 b) 3x^2 - 19x - 14=0 c) 3x^2 + 23x + 14=0 d) 2x^2 + 11x - 21=0

Algebra ->  Equations -> SOLUTION: Which quadratic equation has roots 7 and -2/3? a) 2x^2 - 11x - 21=0 b) 3x^2 - 19x - 14=0 c) 3x^2 + 23x + 14=0 d) 2x^2 + 11x - 21=0      Log On


   

Question 323975: Which quadratic equation has roots 7 and -2/3?
a) 2x^2 - 11x - 21=0
b) 3x^2 - 19x - 14=0
c) 3x^2 + 23x + 14=0
d) 2x^2 + 11x - 21=0
Found 2 solutions by Fombitz, mananth:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-7%29%28x%2B2%2F3%29
where a is any non-zero constant,
y=a%28x%5E2%2B%282%2F3%29x-7x-14%2F3%29
y=a%28x%5E2%2B%282%2F3-21%2F3%29x-14%2F3%29
y=a%28x%5E2-%2819%2F3%29x-14%2F3%29
Let a=3,
y=3x%5E2-19x-14
b) is the correct answer.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

The roots are 7 & -2/3
So the factors are
(x-7)(3x+2)
3x^2+2x-21x-14
3x^2-19x-14