What is the answer to sqrt(4x-16)=x-4 ?

The answer to sqrt(4x-16)=x-4 is x=8,x=4

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sqrt(4x-16)=x-4

4 x - 16 = x - 4

x = 8, x = 4

Solution steps

4 x - 16 = x - 4

Square both sides:

4 x - 16 = x^{2} - 8 x + 16

4 x - 16 = x^{2} - 8 x + 16

Solve

4 x - 16 = x^{2} - 8 x + 16 : x = 8, x = 4

x = 8, x = 4

Verify Solutions:

x = 8

True

, x = 4

True

The solutions are

x = 8, x = 4

8 + 2 x - x = x + 6

x - 3 = 4

2 3 x + 1 - 2 x + 2 = 0

x = 9 x - 14

(4 x + 8)^{\frac{1}{2}} = 2 x

What is the answer to sqrt(4x-16)=x-4 ?
The answer to sqrt(4x-16)=x-4 is x=8,x=4
Solve for x: sqrt(4x-16)=x-4
The solution is x=8,x=4