What is the answer to sqrt(z)+sqrt(z-3)=sqrt(z+5) ?

The answer to sqrt(z)+sqrt(z-3)=sqrt(z+5) is z=4

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sqrt(z)+sqrt(z-3)=sqrt(z+5)

z + z - 3 = z + 5

z = 4

Solution steps

z + z - 3 = z + 5

Remove square roots

4 z^{2} - 12 z = z^{2} - 16 z + 64

Solve

4 z^{2} - 12 z = z^{2} - 16 z + 64 : z = - \frac{16}{3}, z = 4

z = - \frac{16}{3}, z = 4

Verify Solutions:

z = - \frac{16}{3}

False

, z = 4

True

The solution is

z = 4

\frac{3}{x ^{\frac{1}{2}}} = 0

2 x + 1 = 0

8 x + 2 = 32

2 k + 1 = 19

4 v - 16 + 1 = 3

What is the answer to sqrt(z)+sqrt(z-3)=sqrt(z+5) ?
The answer to sqrt(z)+sqrt(z-3)=sqrt(z+5) is z=4
Solve for z: sqrt(z)+sqrt(z-3)=sqrt(z+5)
The solution is z=4