What is the answer to sqrt(144-24z+z^2)=z-12 ?

The answer to sqrt(144-24z+z^2)=z-12 is z>= 12

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sqrt(144-24z+z^2)=z-12

144 - 24 z + z^{2} = z - 12

z \geq 12

Solution steps

144 - 24 z + z^{2} = z - 12

Square both sides:

144 - 24 z + z^{2} = z^{2} - 24 z + 144

144 - 24 z + z^{2} = z^{2} - 24 z + 144

Solve

144 - 24 z + z^{2} = z^{2} - 24 z + 144 :

True for all

z

True for all z

Verify Solutions:

z < 12

False

, z = 12

True

, z > 12

True

The solution is

z \geq 12

(2 x + 1)^{\frac{1}{2}} + 4 = 13

4 + \frac{x}{9} = 5

2 x + 41 = x + 5

(x - 4)^{\frac{2}{3}} = 25

x = 6 - x

What is the answer to sqrt(144-24z+z^2)=z-12 ?
The answer to sqrt(144-24z+z^2)=z-12 is z>= 12
Solve for z: sqrt(144-24z+z^2)=z-12
The solution is z>= 12