Question

Solve 5x² + 25 = 0Ox= -5x = -5 and x = 5Ox=5No Real Solutions

Answer 1

`5x^2+25=0`

Solve for x:

Subtract 25 from both sides:

`\begin{gathered} 5x^2+25-25=-25 \\ 5x^2=-25 \end{gathered}`

Divide both sides by 5:

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

Take the square root of both sides:

`\begin{gathered} x=\pm√(-5) \\ x=\pm√(5)i \end{gathered}`

Therefore, there are no real solutions

Answer:

No Real Solutions