Question

root 2 X + 9 + X equal to 13​

Answer 1

Given equation is

(i)2x+9=13−x

On squaring, we get 2x+9=x 2+169−26x⟹x 2+160−28x=0⟹x2 −20x−8x+160=0⟹(x−20)(x−8)=0∴x=20 or x=8

Answer 2

$\sqrt{2x } \: + 9 + x = 13 \\ \sqrt{2x } = 4 - x \\ 2x = 16 - 8x + {x}^{2} \\ {x}^{2} - 10x + 16 = 0 \\ (x - 8)(x - 2) = 0 \\ x = 8 \: or \: 2$