Question

Find the value of k for which following equation has real and equal roots:
1) 4x^2+kx+9=0
2) x^2_2(k+1)x+k^2

Answer 1

Heya❤

For real and equal roots;

Discriminant,D is

$b {}^{2} - 4ac = 0$

So..

$(1)4x {}^{2} + kx + 9 = 0 \\ \\( k ){}^{2} - 4(4)(9) = 0 \\ k {}^{2} - 144 = 0 \\ k {}^{2} = 144 \\ k = \sqrt{144} \\ k = 12$

Hope it helps you

✌✌✌