Question

If F(x)= 2x^2 -12x +7 and G(x) = 2x+k ,then find the value of constant k for which the equation GF(x) = 0 has two equal roots.​

Answer 1

f(x)=2x^-12x+7

f(x)=2×k/4-12×(-k/2)+7

f(x)=k/2+6k+7=0

k+12k+14/2=0

k+12k+14=0

13k+14=0

13k= -14

k= -14/13ANS