Question

use the quadratic formula to solve. express your answer in simplest form. 9k² + 30k + 25 = 0 answer attempt 1 out of 2 additional solution no solution k =

Explanation:

Step1: Identify coefficients

For the quadratic equation $9k^{2}+30k + 25=0$, we have $a = 9$, $b = 30$, $c = 25$.

Step2: Calculate the discriminant

The discriminant $\Delta=b^{2}-4ac$. Substitute the values: $\Delta=(30)^{2}-4\times9\times25=900 - 900=0$.

Step3: Apply quadratic formula

The quadratic formula is $k=\frac{-b\pm\sqrt{\Delta}}{2a}$. Since $\Delta = 0$, we have $k=\frac{-30\pm\sqrt{0}}{2\times9}=\frac{-30}{18}=-\frac{5}{3}$.

Answer:

$k =-\frac{5}{3}$