How do you solve $\sqrt{6 x + 5} = \sqrt{53}$ $sqrt(6 x + 5)=sqrt 53$ ?

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Answer 1 · 2015-08-06T06:18:21

$x = 8$ $color(blue)(x=8$

$\sqrt{6 x + 5} = \sqrt{53}$ $sqrt(6x+5) = sqrt53$

Squaring both sides

${(\sqrt{6 x + 5})}^{2} = {(\sqrt{53})}^{2}$ $(sqrt(6x+5))^2 = (sqrt53)^2$

$6 x + 5 = 53$ $6x+5 = 53$

$6 x = 53 - 5$ $6x = 53-5$

$6 x = 48$ $6x = 48$

$x = \frac{48}{6}$ $x=48/6$

$x = 8$ $color(blue)(x= 8$

How do you solve sqrt(6 x + 5)=sqrt 53√6x+5=√53sqrt(6 x + 5)=sqrt 53?