What is the answer to sqrt(x+12)+2=sqrt(3x-8) ?

The answer to sqrt(x+12)+2=sqrt(3x-8) is x=24

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sqrt(x+12)+2=sqrt(3x-8)

x + 12 + 2 = 3 x - 8

x = 24

Solution steps

x + 12 + 2 = 3 x - 8

Remove square roots

16 x + 192 = 4 x^{2} - 96 x + 576

Solve

16 x + 192 = 4 x^{2} - 96 x + 576 : x = 24, x = 4

x = 24, x = 4

Verify Solutions:

x = 24

True

, x = 4

False

The solution is

x = 24

2 x - 6 + x + 4 = 5

x + 5 = 0

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

x^{2} = 7 - 7 + x

2 x - \frac{2}{x} = 0

What is the answer to sqrt(x+12)+2=sqrt(3x-8) ?
The answer to sqrt(x+12)+2=sqrt(3x-8) is x=24
Solve for x: sqrt(x+12)+2=sqrt(3x-8)
The solution is x=24