Question

What is the solution of Square -4x =100?

Answer 1

For this case we have the following expression:

`(-4x) ^ 2 = 100`

To look for the solution:

We apply root to both sides of the equation to eliminate the exponent:

`-4x = \pm \sqrt {100}\\-4x = \pm10`

Then we have two solutions:

`-4x = 10`

Dividing between -4 on both sides of the equation:

`x = \frac {10} {- 4}\\x = - \frac {5} {2}`

The second solution:

`-4x = -10`

Dividing between -4 on both sides of the equation:

`x = \frac {-10} {- 4}\\x = \frac {5} {2}`

Answer:

`x_ {1} = - \frac {5} {2}\\x_ {2} = \frac {5} {2}`