What is the answer to sqrt(4x-11)=x-2 ?

The answer to sqrt(4x-11)=x-2 is x=5,x=3

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sqrt(4x-11)=x-2

4 x - 11 = x - 2

x = 5, x = 3

Solution steps

4 x - 11 = x - 2

Square both sides:

4 x - 11 = x^{2} - 4 x + 4

4 x - 11 = x^{2} - 4 x + 4

Solve

4 x - 11 = x^{2} - 4 x + 4 : x = 5, x = 3

x = 5, x = 3

Verify Solutions:

x = 5

True

, x = 3

True

The solutions are

x = 5, x = 3

19 - 3 x = x - 7

x + - x = 2

5 x + 51 + 13 = 17

2 x + 39 + 5 = 12

x^{\frac{2}{3}} + x^{\frac{1}{3}} - 6 = 0

What is the answer to sqrt(4x-11)=x-2 ?
The answer to sqrt(4x-11)=x-2 is x=5,x=3
Solve for x: sqrt(4x-11)=x-2
The solution is x=5,x=3