Question

√(4+x)-2=x-4 .......................

Answer 1

the value of x is 0 or 5

Answer 2

Hey mate,
Here's your answer,

$\sqrt{4 + x} - 2 = x - 4 \\ \\ = > \sqrt{4 + x} = x - 4 + 2 \\ \\ = > { (\sqrt{4 + x}) }^{2} = {(x - 4)}^{2} \\ \\ = > 4 + x = {x}^{2} - 8x + 16 \\ \\ = > x + 8x = {x}^{2} + 16 - 4 \\ \\ = > 9x = {x}^{2} + 12 \\ \\ = > 0 = {x}^{2} - 9x + 12 \\ \\ = >$
$\sqrt{4 + x} - 2 = x - 4 \\ \\ = > \sqrt{4 + x} = x - 4 + 2 \\ \\ = > { (\sqrt{4 + x}) }^{2} = {(x - 2)}^{2} \\ \\ = > 4 + x = {x}^{2} - 4x + 4 \\ \\ = > x + 4x = {x}^{2} + 4 - 4 \\ \\ = > 5x = {x}^{2} \\ \\ = > 0 = {x}^{2} - 5x \\ \\ = > x( x - 5) = 0 \\ \\ since \: x(x - 5) = 0 \\ so \\ x = 0 \\ x - 5 = 0 \\ = > x = 5 \\ \\ \\ hence\: x = either \: 0 \: or \: 5 \: or \: both$


Hope this helps!