How do you solve $\sqrt{x - 7} + 5 = 11$ $sqrt(x - 7)+5 = 11$ ?

Question

1471 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-15T15:27:23

$x = 43$ $color(blue)(x=43$

$\sqrt{x - 7} + 5 = 11$ $sqrt(x-7) +5=11$

$\sqrt{x - 7} = 11 - 5$ $sqrt(x-7) =11-5$

$\sqrt{x - 7} = 6$ $sqrt(x-7) =6$

Squaring both sides

${(\sqrt{x - 7})}^{2} = 6^{2}$ $(sqrt(x-7) )^2=6^2$

$x - 7 = 36$ $x-7=36$

$x = 36 + 7$ $x=36+7$

$x = 43$ $color(blue)(x=43$

How do you solve √x−7+5=11sqrt(x - 7)+5 = 11?