Question

Ten times the square of a non-zero number is equal t fifty times the number. what is the number?

Answer 1

x - the number


`10x^2=50x \ \ \ \ \ \ \ |/ x, x \\ot= 0 \\ 10x=50 \ \ \ \ \ \ \ \ \ \ |/ 10 \\ x=5`

The number is 5.

Answer 2

Let
x---------> the number

we know that
Ten times the square of a non-zero number is equal to fifty times the number
so

`10 x^(2) =50x \\ \\ 10 x^(2) -50x=0`
Factor the leading coefficient

`10x( x-5)=0`
the values of x are

`x1=0 \\ x2=5`

remember that x is a non-zero number
therefore
the solution is

`x=5`

the answer is
The number is
`5`