Respuesta :

VictorZ
Hi there!

Let th' required number = x

Then,
According to th' question :-

15 × x² = 20 × x

⇒ 15x² = 20x

⇒ 15 [tex]\dfrac {x^2}{x}[/tex] = 20

⇒ 15x = 20

⇒ x = [tex]\dfrac {20}{15}[/tex] = [tex]\dfrac {4}{3}[/tex]

Hence,
The required non-zero number = [tex]\dfrac {4}{3}[/tex]

~ Hope it helps!
kanest
"Fifteen times" = 15 times a number
"square of an non-zero number" = x times itself (x^2)

"Fifteen times the square of an non- zero number" = 15 times x^2 = 15x^2

"20 times" = 20 times a number
"the number" = same number as the first term: x

"20 times the number" = 20x

The equation can be written as follows:

[tex]15x^2 = 20x[/tex]

Divide both sides by x:

[tex]15x = 20[/tex]

Divide both sides by 15 to get x by itself:

[tex]x = \frac{20}{15} = \boxed{x = \frac{4}{3}} [/tex]

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