How do you solve $w- 1= \sqrt { - 19+ 7w }$ ?

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Answer 1 · 2018-03-19T23:13:04

The solutions are $w=4, 5$ .

Square both sides of the equation, combine like terms, then factor the new quadratic. Here's what that process looks like:

$w-1=sqrt(-19+7w)$

$(w-1)^2=(sqrt(-19+7w))^2$

$(w-1)^2=-19+7w$

$(w-1)(w-1)=-19+7w$

$w^2-w-w+1=-19+7w$

$w^2-2w+1=-19+7w$

$w^2-9w+1=-19$

$w^2-9w+20=0$

$(w-4)(w-5)=0$

$w=4,5$

Those are the solutions. Hope this helped!

How do you solve w- 1= \sqrt { - 19+ 7w }w- 1= \sqrt { - 19+ 7w }?