What is the answer to 2(x-2)=sqrt(7-2x)+x-2 ?

The answer to 2(x-2)=sqrt(7-2x)+x-2 is x=3

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2(x-2)=sqrt(7-2x)+x-2

2 (x - 2) = 7 - 2 x + x - 2

x = 3

Solution steps

2 (x - 2) = 7 - 2 x + x - 2

Expand

2 (x - 2) : 2 x - 4

2 x - 4 = 7 - 2 x + x - 2

Remove square roots

x^{2} - 4 x + 4 = 7 - 2 x

Solve

x^{2} - 4 x + 4 = 7 - 2 x : x = 3, x = - 1

x = 3, x = - 1

Verify Solutions:

x = 3

True

, x = - 1

False

The solution is

x = 3

x = 2 x = 9 - 3

x + 17 + 3 = x

7 = 12 - 3 (x)^{\frac{1}{2}}

27 = x^{\frac{3}{2}}

y, x = 100 - y

What is the answer to 2(x-2)=sqrt(7-2x)+x-2 ?
The answer to 2(x-2)=sqrt(7-2x)+x-2 is x=3
Solve for x: 2(x-2)=sqrt(7-2x)+x-2
The solution is x=3