How do you solve $\frac{2}{5} \sqrt{10 x + 6} = 12$ $2/5sqrt(10x+6)=12$ ?

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Answer 1 · 2017-02-14T14:44:02

$x = 89.4$ $x = 89.4$

$\frac{2}{5} \sqrt{10 x + 6} = 12$ $2/5sqrt(10x+6) = 12$

As with any equation, we need to isolate $x$ $x$ .

Isolate the square root first.

$\frac{5}{2} \times \frac{2}{5} \sqrt{10 x + 6} = \frac{5}{2} \times 12$ $color(blue)(5/2 xx)2/5sqrt(10x+6) = color(blue)(5/2 xx)12$

$color(white)(............)sqrt(10x+6) = 30" "larr$ now square both sides

$color(white)(..........)sqrt(10x+6)^2 = 30^2$

$color(white)(...............)10x+6 = 900" "larr$ subtract 6 from both sides

$color(white)(......................)10x = 894$

$color(white)(.........................)x = 89.4$

How do you solve 2/5sqrt(10x+6)=1225√10x+6=122/5sqrt(10x+6)=12?