Question

If 2 is a root of the equation x^2+kx+12=0 and the equation x^2+kx+q has equal roots. find q.

Answer 1

X square+kx+12=0
one root = 2
means this root satisfied this equation.

then we keep x=2 in equation.
${2}^{2} + k(2) + 12 = 0$
k=-8

then,. equation x square+(-8)x+q=0

root equal dono k mtlb equation bhi equal hi hogi.

tb compared:
x square+(-8x)+12=x square+(-8x)+q

then q=12