What is the answer to sqrt(8-7z)-sqrt(z^2+20)=0 ?

The answer to sqrt(8-7z)-sqrt(z^2+20)=0 is z=-3,z=-4

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sqrt(8-7z)-sqrt(z^2+20)=0

8 - 7 z - z^{2} + 20 = 0

z = - 3, z = - 4

Solution steps

8 - 7 z - z^{2} + 20 = 0

Remove square roots

8 - 7 z = z^{2} + 20

Solve

8 - 7 z = z^{2} + 20 : z = - 3, z = - 4

z = - 3, z = - 4

Verify Solutions:

z = - 3

True

, z = - 4

True

The solutions are

z = - 3, z = - 4

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

2 x + 9 - x = 3

2 x + 4 = x + 2

x - 2 x - 1 = 2

4 x - x + 8 = 0

What is the answer to sqrt(8-7z)-sqrt(z^2+20)=0 ?
The answer to sqrt(8-7z)-sqrt(z^2+20)=0 is z=-3,z=-4
Solve for z: sqrt(8-7z)-sqrt(z^2+20)=0
The solution is z=-3,z=-4