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=(-16\pm√(16^2-4*1*64))/(2*1) \\ \Rightarrow r=(-16\pm√(0))/(2)=-8 \end{gathered}`

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