What is the answer to sqrt(3z^2-12z+9)+3=3z ?

The answer to sqrt(3z^2-12z+9)+3=3z is z=1

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sqrt(3z^2-12z+9)+3=3z

3 z^{2} - 12 z + 9 + 3 = 3 z

z = 1

Solution steps

3 z^{2} - 12 z + 9 + 3 = 3 z

Remove square roots

3 z^{2} - 12 z + 9 = 9 z^{2} - 18 z + 9

Solve

3 z^{2} - 12 z + 9 = 9 z^{2} - 18 z + 9 : z = 0, z = 1

z = 0, z = 1

Verify Solutions:

z = 0

False

, z = 1

True

The solution is

z = 1

s - s - 8 = 2

3 x - 4 = 8 - x

\frac{1}{2 x + 3} = 4

7 x + 5 = 12

x^{2} + 5 = 0

What is the answer to sqrt(3z^2-12z+9)+3=3z ?
The answer to sqrt(3z^2-12z+9)+3=3z is z=1
Solve for z: sqrt(3z^2-12z+9)+3=3z
The solution is z=1