What is the answer to 2x+3=14+x-8sqrt(x-2) ?

The answer to 2x+3=14+x-8sqrt(x-2) is x=3

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2x+3=14+x-8sqrt(x-2)

2 x + 3 = 14 + x - 8 x - 2

x = 3

Solution steps

2 x + 3 = 14 + x - 8 x - 2

Remove square roots

x^{2} - 22 x + 121 = 64 x - 128

Solve

x^{2} - 22 x + 121 = 64 x - 128 : x = 83, x = 3

x = 83, x = 3

Verify Solutions:

x = 83

False

, x = 3

True

The solution is

x = 3

3 x + 1 + x + 4 = 1

2 x - 8 = x + 3

2 x + 8 - 2 x + 5 = - 2

x = 18 - x^{2}

What is the answer to 2x+3=14+x-8sqrt(x-2) ?
The answer to 2x+3=14+x-8sqrt(x-2) is x=3
Solve for x: 2x+3=14+x-8sqrt(x-2)
The solution is x=3