What is the answer to sqrt(x^2-5x+6)=sqrt(x-2) ?

The answer to sqrt(x^2-5x+6)=sqrt(x-2) is x=4,x=2

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sqrt(x^2-5x+6)=sqrt(x-2)

x^{2} - 5 x + 6 = x - 2

x = 4, x = 2

Solution steps

x^{2} - 5 x + 6 = x - 2

Square both sides:

x^{2} - 5 x + 6 = x - 2

x^{2} - 5 x + 6 = x - 2

Solve

x^{2} - 5 x + 6 = x - 2 : x = 4, x = 2

x = 4, x = 2

Verify Solutions:

x = 4

True

, x = 2

True

The solutions are

x = 4, x = 2

(x - 4)^{\frac{3}{2}} = 8

- 4 3 x + 10 = - 40

7 t + 5 = 9

2 x - 4 = 6

10 - 4 x = 2 x + 3

What is the answer to sqrt(x^2-5x+6)=sqrt(x-2) ?
The answer to sqrt(x^2-5x+6)=sqrt(x-2) is x=4,x=2
Solve for x: sqrt(x^2-5x+6)=sqrt(x-2)
The solution is x=4,x=2