Respuesta :

fieryanswererft

Answer:

x = 10, -10

Explanation:

[tex]\sf \sf \rightarrow \dfrac{x^2}{4} -25 = 0[/tex]

isolate variable

[tex]\sf \sf \rightarrow \dfrac{x^2}{4} = 25[/tex]

cross multiply

[tex]\sf \sf \rightarrow x^2 = 25(4)[/tex]

multiply integers

[tex]\sf \sf \rightarrow x^2 = 100[/tex]

square root right side

[tex]\sf \sf \rightarrow x =\pm \sqrt{100}[/tex]

simplify

[tex]\sf \sf \rightarrow x =\pm 10[/tex]

solutions

[tex]\sf \sf \rightarrow x =10, -10[/tex]

Answer:

x = ± 10

Step-by-step explanation:

[tex]\frac{x^2}{4}[/tex] - 25 = 0 ( add 25 to both sides )

[tex]\frac{x^2}{4}[/tex] = 25 ( multiply both sides by 4 to clear the fraction )

x² = 100 ( take square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

that is x = - 10, x = 10

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