What is the answer to 1+2z=4z+sqrt(5+2z) ?

The answer to 1+2z=4z+sqrt(5+2z) is z=-1/2

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1+2z=4z+sqrt(5+2z)

1 + 2 z = 4 z + 5 + 2 z

z = - \frac{1}{2}

Solution steps

1 + 2 z = 4 z + 5 + 2 z

Remove square roots

1 - 4 z + 4 z^{2} = 5 + 2 z

Solve

1 - 4 z + 4 z^{2} = 5 + 2 z : z = 2, z = - \frac{1}{2}

z = 2, z = - \frac{1}{2}

Verify Solutions:

z = 2

False

, z = - \frac{1}{2}

True

The solution is

z = - \frac{1}{2}

2 x + 9 - x = 3

2 x + 4 = x + 2

x - 2 x - 1 = 2

4 x - x + 8 = 0

x + 56 = x

What is the answer to 1+2z=4z+sqrt(5+2z) ?
The answer to 1+2z=4z+sqrt(5+2z) is z=-1/2
Solve for z: 1+2z=4z+sqrt(5+2z)
The solution is z=-1/2