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  • 13-02-2020
  • Mathematics
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Solve (5 x/3) (5 x/5) =54

Respuesta :

Garith2
Garith2 Garith2
  • 02-07-2020

Answer:

[tex]-\frac{9\sqrt{10} }{5}[/tex], [tex]\frac{9\sqrt{10} }{5}[/tex]

Step-by-step explanation:

[tex](5*\frac{x}{3}) * (5*\frac{x}{5} ) = 54\\[/tex] calculate the product

[tex]\frac{5x}{3} * x =54[/tex] multiply

[tex]\frac{5x^{2} }{3} = 54[/tex] multiply both sides by [tex]\frac{3}{5}[/tex]

[tex]x^{2} =\frac{162}{5}[/tex]  separate into two solutions

x = ± [tex]\frac{9\sqrt{10} }{5}[/tex]

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