Question

(x-5)2 - (x+2)2 =-2
Solve the equation

Answer 1

Step-by-step explanation:

${(x - 5)}^{2} - {( x + 2)}^{2} = - 2 \\ {x}^{2} + 25 - 10x - {x}^{2} - 4 - 4x = - 2 \\ - 14x = - 2 - 21 \\ 14x = 23 \\ x = \frac{23}{14}$

Answer 2

Step-by-step explanation:

${( x - 5)}^{2} - {(x + 2)}^{2} = - 2 \\ \\ ({x}^{2} -10x + 25) - ( {x}^{2} + 4x + 4) = - 2 \\ \\ {x}^{2} - 10x + 25 - {x}^{2} - 4x - 4 = - 2 \\ \\ - 14x + 21 = - 2 \\ \\ - 14x = - 21 - 2 \\ \\ - 14x = - 23 \\ \\ x = \frac{23}{14}$