Answer :

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

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