SOLUTION: Find k if the roots of the equation (k+3)x^2 - 2(k+1)x - (k+1) = 0 are equal. If k is not equal to -3.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find k if the roots of the equation (k+3)x^2 - 2(k+1)x - (k+1) = 0 are equal. If k is not equal to -3.      Log On


   

Question 1015514: Find k if the roots of the equation (k+3)x^2 - 2(k+1)x - (k+1) = 0 are equal. If k is not equal to -3.
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(k+3)x^2 - 2(k+1)x - (k+1) = 0
if the roots are zero, b^2-4ac=0
b^2=4ac
b^2=(-2(k+1))^2=4k^2+8k+4
4ac=4k^2+16k+12
set them equal
4k^2+8k+4=4k^2+16k+12
8k+4=16k+12
8k=-8
k=-1
2x^2=0
x=0,0

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find k if the roots of the equation (k+3)x^2 - 2(k+1)x - (k+1) = 0 are equal. If k is not equal to -3.
highlight_green%28k+=+-+2%29          OR           k = - 1 (ignore)