Question

please do this quickly​

Answer 1

The equation is x²+K(22+K-1)=0

The equation has real and equal roots.

Since there is no linear term, we can use square root here.

x² = -K(K+21)

∴x=±√K(K+21)

Therefore ±√K(K+21) is equal to each other.

Therefore, ±√K(K+21) is 0.

Therefore, K(K+21)=0

Therefore, K=0 or K=-21.