How do you solve $\sqrt { - 5x - 9} = 11$ ?

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Answer 1 · 2016-12-19T03:24:36

$x=-26$

Given -

$sqrt(-5x-9)=11$

To eliminate the root, square both sides

$(sqrt(-5x-9))^2=11^2$

$-5x-9=121$

Add $9$ to both sides

$-5x-9+9=121+9$
$-5xcancel(-9) cancel(+9)=130$
Divide both sides by $-5$
$(-5x)/(-5)=130/(-5)$
$(cancel(-5)x)/cancel(-5)=130/(-5)$
$x=-26$

How do you solve \sqrt { - 5x - 9} = 11\sqrt { - 5x - 9} = 11?