Question

Find the roots of the equation 5x2 + 125 = 0

Answer 1

Answer:
`5i\text{ and -5i}`Step-by-step explanation:

The given equation is:

`5x^2+125=0`

Divide through by 5

`\begin{gathered} (5x^2)/(5)+(125)/(5)=(0)/(5) \\ \\ x^2+25=0 \\ \end{gathered}`

This is further simplified as:

`\begin{gathered} x^2=-25 \\ \\ √(x^2)=\pm√(-25) \\ \\ √(x^2)=\pm√(-1)*√(25) \\ \\ x^=\pm5i \\ \\ x=5i\text{ and -5i} \\ \end{gathered}`