What is the answer to sqrt(w^2+2w)=w+3 ?

The answer to sqrt(w^2+2w)=w+3 is w=-9/4

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sqrt(w^2+2w)=w+3

w^{2} + 2 w = w + 3

w = - \frac{9}{4}

Decimal Notation

w = - 2.25

Solution steps

w^{2} + 2 w = w + 3

Square both sides:

w^{2} + 2 w = w^{2} + 6 w + 9

w^{2} + 2 w = w^{2} + 6 w + 9

Solve

w^{2} + 2 w = w^{2} + 6 w + 9 : w = - \frac{9}{4}

w = - \frac{9}{4}

Verify Solutions:

w = - \frac{9}{4}

True

The solution is

w = - \frac{9}{4}

7 - 3 x + x + 4 = 5

5 = 4 x - 3

a, a^{- \frac{1}{2}} = x

x, 3 x - 2 - 8 = 8

\frac{27}{x x} = x x

What is the answer to sqrt(w^2+2w)=w+3 ?
The answer to sqrt(w^2+2w)=w+3 is w=-9/4
Solve for w: sqrt(w^2+2w)=w+3
The solution is w=-9/4