Question

X^2 + 4.7^2 = 13.4^2

Answer 1

Answer:

$x = - \: 12.55 \: or \: x = 12.55$

Step-by-step 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

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

${x}^{2} = 157.47$

$x = \pm \sqrt{157.47}$

$x = \pm \: 12.55$