Question

For what value of K is (x + k) ² = x² + 22x + k²?¿Para qué valor de K es (x + k) ² = x² + 22x + k²?

Answer 1

For what value of K is (x + k) ² = x² + 22x + k²?

solve for k the given equation

we have

$\begin{gathered} (x+k)^2=x^2+22x+k^2 \\ x^2+2kx+k^2=x^2+22x+k^2 \\ \text{Simplify} \\ 2kx=22x \\ 2k=22 \\ k=11 \end{gathered}$

therefore

the answer is

k=11