Question

Find m, if the roots of the quadratic equation
(m-12) x² + 2 (m-12) 2+2=0 are real and equal.​

Answer 1

Answer:

Roots are real and equal.

⇒D=0

$2^2(m-12)^{2} -4(2)(m-12)=0\\4(m-12)^{2} -4(2)(m-12)=0\\(m-12)^{2} -(2)(m-12)=0\\(m-12)[m-12-2]=0\\(m-12)(m-14)=0\\m=12,14$