Question

What are the solutions to the quadratic equation 5x2 + 60x = 0?

x = 0 and x = −12
x = 0 and x = 12
x = 5 and x = −12
x = 5 and x = 12

Answer 1

`x=0` and
`x=-12`

Explanation:

The given quadratic equation is:

`5x^2+60x=0`

simplifying the above quadratic equation, we get

`x(5x+60)=0`

⇒
`x=0` and
`5x+60=0`

⇒
`x=0` and
`5(x+12)=0`

⇒
`x=0` and
`x=-12`

Therefore, the solution of the quadratic equation is:

`x=0` and
`x=-12`.

Thus, option A is correct.

Answer 2

5x^2+60x=0
x(5x+60)=0

x=0
and
5x+60=0
5x=-60
x=-12

therefore, the first option is correct