AP ICET 2024 6th May 2024 Shift 1

For the quadratic equation to have equal roots, the discriminant must be zero. Th discriminant $\Delta$ for the equation $a x^2+b x+c=0$ is given by: $\Delta=b^2-4 a c$ Here, $a=1, b=2(K+2)$, and $c=36$. Thus, the discriminant is:$\Delta=(2(K+2))^2-4 \times 1 \times 36=0 .$ Simplifying: Solving: Thus, $K=4$ or $K=-8$. Quick TipFor a quadratic equation to have equal roots, the discriminant must be zero. Use the formula $\Delta=b^2-4 a c$ to solve for the unknown.