Question

The equation 5x²+ (9 + 4k)x + 2k²=0 and 5 x + 9=0 are statisfied by the same value of x. find the value of k

Answer 1

5x+9=0

x=(-9/5)

substitute x value in eq.
then

(81/5)+(9+4k)(-9/5)+2k^2=0

(1/5)×(81-81-36)+10k^2=0

-36+10k^2=0

-18+5k^2=0

5k^2=18

k^2=18/5

k=(+-)root (18/5)



hope it helps u