Question

(x+60)²=(x)²+(x+30)²

Answer 1

Solution :

( x + 60 )² = ( x )² + ( x + 30 )²

x² + 120x + 3600 = x² + x² + 60x + 900

0 = x² - 60x - 2700

x² - 60x - 2700 = 0

x² + 30x - 90x - 2700 = 0

x ( x + 30 ) - 90 ( x + 30 ) = 0

( x - 90 ) ( x + 30 ) = 0

x - 90 = 0 or x + 30 = 0

x = 90 or x = - 30

x can be 90 or ( - 30 )