Question

X^2 + 4.7^2 = 13.4^2

Answer 1

`x = - \: 12.55 \: or \: x = 12.55`

Explanation:

We want to solve for x in

`{x}^(2) + 4.7^(2) = 13.4^(2)`

We group constants on the right to get:

`{x}^(2) = 13.4^(2) - {4.7}^(2)`

We apply difference of two squares

`{x}^(2) = (13.4 - {4.7})(13.4 + 4.7)`

`{x}^(2) = 157.47`

`x = \pm √(157.47)`

`x = \pm \: 12.55`