What is the answer to (45-3x)^{1/2}=x-9 ?

The answer to (45-3x)^{1/2}=x-9 is x=12

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(45-3x)^{1/2}=x-9

(45 - 3 x)^{\frac{1}{2}} = x - 9

x = 12

Solution steps

(45 - 3 x)^{\frac{1}{2}} = x - 9

Square both sides:

45 - 3 x = x^{2} - 18 x + 81

45 - 3 x = x^{2} - 18 x + 81

Solve

45 - 3 x = x^{2} - 18 x + 81 : x = 12, x = 3

x = 12, x = 3

Verify Solutions:

x = 12

True

, x = 3

False

The solution is

x = 12

2 x - 9 = x - 6

4 = - 6 - 2 x + 31 - 3 x

10 x + 6 = x + 3

x^{2} - 5 = 3 x

What is the answer to (45-3x)^{1/2}=x-9 ?
The answer to (45-3x)^{1/2}=x-9 is x=12
Solve for x: (45-3x)^{1/2}=x-9
The solution is x=12