Question

Determine the number of real solutions to each quadratic equation r^2 + 16r + 64=0

Answer 1

Use the quadratic formula to solve the quadratic equation as shown below

$\begin{gathered} r^2+16r+64=0 \\ \Rightarrow r=\frac{-16\pm\sqrt{16^2-4*1*64}}{2*1} \\ \Rightarrow r=\frac{-16\pm\sqrt{0}}{2}=-8 \end{gathered}$

Therefore, the solution to the equation is r=-8