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

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

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

z^{2} + 2 z = 3 + z

z = - \frac{9}{4}

Decimal Notation

z = - 2.25

Solution steps

z^{2} + 2 z = 3 + z

Square both sides:

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

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

Solve

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

z = - \frac{9}{4}

Verify Solutions:

z = - \frac{9}{4}

True

The solution is

z = - \frac{9}{4}

- x + 2 = x

2 x + 5 + 4 = x

3 - \frac{2}{3} w + 8 = 11

2 x + 13 = x + 5

x = x + 12

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