Question

Fifteen times the square of an non- zero number is equal to 20 times the number

Answer 1

Hi there!

Let th' required number = x

Then,
According to th' question :-

15 × x² = 20 × x

⇒ 15x² = 20x

⇒ 15
`\frac {x^2}{x}` = 20

⇒ 15x = 20

⇒ x =
`\frac {20}{15}` =
`\frac {4}{3}`

Hence,
The required non-zero number =
`\frac {4}{3}`

~ Hope it helps!

Answer 2

"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:


`15x^2 = 20x`

Divide both sides by x:


`15x = 20`

Divide both sides by 15 to get x by itself:


`x = (20)/(15) = \boxed{x = (4)/(3)}`