Question

20.If one zero of the quadratic polynomial f(x) = 4x2 – 8kx + 8x – 9is negative of the other, then find the zeroes of kx2 + kx + 2.​

Answer 1

Answer:

-1 -2

Step-by-step explanation:

f(x)=4x

2

−8kx+8x−9

Let one zero be α

and then other will be =−α

⇒ Sum of zeroes ⇒α−α=0=

4

(8k−8)

⇒k=1

∴ Zeroes of 1(x)

2

+3(x)x+2

=x

2

+3x+2

=x

2

+x+2x+2

=x(x+1)+2(x+1)

=(x+1)(x+2)

∴ Zeroes =x=−1,−2.

Hence, the answer is −1,−2.