Question

For what value of k the factor of x^2 +x -2k-2 and 2x^2 +kx -12 is x+4

Answer 1

Here We are given Quadratic equation

:-- x²+x-(k-1)2 and 2x²+kx-12

and a common root is given.

So let's find Value of K in both equation.

X+4 = 0 ; X = –4

Equation 1.

(-4)²+(-4)-(k-1)2 = 0

16-4-2k+2 = 0

2k = 14 ; K = 7__________ (K=7)

Equation 2.

2(-4)²+K(-4) –12 =0

32-4k-12 = 0

4k = 20 ; K = 5 _________(K=5)