Question

How do you do this 0=45×to the second power -125​

Answer 1

`x = (5)/(3)` and
`x = - (5)/(3)`

Explanation:

We have to solve the equation
`0 = 45x^(2)  - 125`

This is a two degree single variable equation.

As there is only one variable x, so the value of x can be found from the single equation.

Again being a two-degree i.e. quadratic equation it will have two solutions.

Now,
`0 = 45x^(2)  - 125`

⇒
`125 = 45x^(2)`

⇒
`45x^(2)  = 125`

⇒
`x^(2)  = (125)/(45) = (25)/(9)`

⇒
`x = \sqrt{(25)/(9)}` and
`x = - \sqrt{(25)/(9)}`

⇒
`x = (5)/(3)` and
`x = - (5)/(3)` (Answer)