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.
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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
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