Question

28. Solve for x:

2x + 9 + x = 13
$\sqrt{2x + 9} + x = 13$
​

Answer 1

Answer:

2x+9

=13−x

On squaring, we get

2x+9=x

2

+169−26x

⟹x

2

+160−28x=0

⟹x

2

−20x−8x+160=0

⟹(x−20)(x−8)=0

∴x=20 or x=8

But x=20 does not satisfy (i)

∴x=8 is the solution of (