What is the answer to x^2-6x+9=sqrt(3-x) ?

The answer to x^2-6x+9=sqrt(3-x) is x=2,x=3

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x^2-6x+9=sqrt(3-x)

x^{2} - 6 x + 9 = 3 - x

x = 2, x = 3

Solution steps

x^{2} - 6 x + 9 = 3 - x

Square both sides:

x^{4} - 12 x^{3} + 54 x^{2} - 108 x + 81 = 3 - x

x^{4} - 12 x^{3} + 54 x^{2} - 108 x + 81 = 3 - x

Solve

x^{4} - 12 x^{3} + 54 x^{2} - 108 x + 81 = 3 - x : x = 2, x = 3

x = 2, x = 3

Verify Solutions:

x = 2

True

, x = 3

True

The solutions are

x = 2, x = 3

x - 2 + 2 x + 3 = 4

2 x - 3 - x + 11 = 0

x = 20 - x

What is the answer to x^2-6x+9=sqrt(3-x) ?
The answer to x^2-6x+9=sqrt(3-x) is x=2,x=3
Solve for x: x^2-6x+9=sqrt(3-x)
The solution is x=2,x=3