Respuesta :

Hey there!

40 - x^2 = 0

-x^2 + 40 = 0


SUBTRACT 40 to BOTH SIDES

-x^2 + 40 - 40 = 0 - 40


SIMPLIFY IT!
-x^2 = -40


DIVIDE -1 to BOTH SIDES

-x^2/-1 = -40/-1


SIMPLIFY IT!
x = ± 2√10



Therefore, your answer is:

x = 2√10 or x = x = -2√10




Good luck on your assignment & enjoy your day!






~Amphitrite1040:)

We are given with a quadratic equation and have to find its solution(s) :

[tex]{:\implies \quad \sf 40-x^{2}=0}[/tex]

Transpose to RHS ;

[tex]{:\implies \quad \sf x^{2}=40}[/tex]

[tex]{:\implies \quad \sf x=\pm \: \sqrt{40}}[/tex]

[tex]{:\implies \quad \sf x=\pm \: \sqrt{2\times 2\times 2\times 5}}[/tex]

[tex]{:\implies \quad \sf x=\pm \sqrt{\underline{\underline{2\times 2}}\times 2\times 5}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\pm 2\sqrt{10}}}}[/tex]

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