Question

Find the values o f k for which the following equation has equal roots.

(k-12)x2 + 2(k - 12) + 2  =  0​

Answer 1

Answer:

14

Step-by-step explanation:

I am considering that question as

(k-12)x^2+2(k-12)x+2 = 0,

let roots be a,a.

then,

sum of roots is -b/a,

=>2a = [-2(k-12)/(k-12)],

=>2a = -2,

=> a = -1.

so , -1,-1 are roots of the equation.

we know that,

product of the roots = c/a,

=> -1 * -1 = 2/(k-12),

=> 1 = 2/(k-12),

=> k-12 = 2,

=> k = 14.

Hope it helps u...