Question

(2(x+5))^+(2x)^=2500

Answer 1

(2(x+5))+(2x)=2500
=2x+10+2x=2500
=4x+10=2500
=4x=2500-10
=4x=2490
=x=2490/4
=x=622.5

Answer 2

$\huge \sf \color{purple}{\underline{\underline{Answer}}} :$

x = 15 or -20

$\huge \sf \color{purple}{\underline{\underline{Solution}}}:$

⟹ 50²=(2(x+5)²+(2x)²

⟹ 2500 = (2x+10)² + 4x²

⟹8x² + 40x - 2400 = 0

⟹x² + 5x - 300 = 0

⟹x² + 20x -15x - 300 = 0

⟹x(x + 20) - 15(x + 20) = 0

⟹ (x + 20)(x -15) = 0

$\sf \boxed{\colorbox{lightgreen}{x=15 \: or \: -20}}$