Answer:
x = ± 5i
Step-by-step explanation:
given the equation
y = x² + 25
To solve the equation , let y = 0 , that is
x² + 25 = 0 ( subtract 25 from both sides )
x² = - 25 ( take square root of both sides )
[tex]\sqrt{x^2}[/tex] = ± [tex]\sqrt{-25}[/tex] , that is
x = ± [tex]\sqrt{25(-1)}[/tex]
x = ± ( [tex]\sqrt{25}[/tex] × [tex]\sqrt{-1}[/tex] ) = ± 5i