express the expression: the quotient of 40 and the square of a number is 10
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express the expression: the quotient of 40 and the square of a number is 10
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Phrase: the quotient of 40 and the square of a number is 10
[tex]\big \bold{Algebraic \ Expression:} \: \: \boxed{\blue{\huge \bold{\frac{40}{x^2}=10}}}[/tex]
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Just in case you need to find the number, here's the solution.↴
[tex]\large \sf \frac{40}{x^2}=10[/tex]
[tex]\large \sf \frac{40 \times x^2}{x^2}=10 \times x^2[/tex]
[tex]\large \sf \frac{40 \times \cancel{x^2}}{\cancel{x^2}}=10 \times x^2[/tex]
[tex]\large \sf 40=10x^2[/tex]
[tex]\large \sf 10x^2=40[/tex]
[tex]\large \sf \frac{10x^2}{10} = \frac{40}{10}[/tex]
[tex]\large \sf x^2=4[/tex]
[tex]\large \sf \sqrt{x^2} = \pm \sqrt{4}[/tex]
[tex]\large \sf x = \pm 2[/tex]
[tex]\large \sf x_1 = -2 \ \ , \ \ x_2 = 2[/tex]
The number could be -2 or 2.
[tex]\:[/tex]
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