What is the answer to sqrt(x+2)=6-sqrt(7x+2) ?

The answer to sqrt(x+2)=6-sqrt(7x+2) is x=2

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sqrt(x+2)=6-sqrt(7x+2)

x + 2 = 6 - 7 x + 2

x = 2

Solution steps

x + 2 = 6 - 7 x + 2

Remove square roots

36 x^{2} + 432 x + 1296 = 1008 x + 288

Solve

36 x^{2} + 432 x + 1296 = 1008 x + 288 : x = 14, x = 2

x = 14, x = 2

Verify Solutions:

x = 14

False

, x = 2

True

The solution is

x = 2

5 (2 x - 1)^{\frac{2}{3}} = 125

x - x - 9 = 1

4 x = 2 2 x + 202

5 x - 4 = x

2 x + 2 = 7 x + 2

What is the answer to sqrt(x+2)=6-sqrt(7x+2) ?
The answer to sqrt(x+2)=6-sqrt(7x+2) is x=2
Solve for x: sqrt(x+2)=6-sqrt(7x+2)
The solution is x=2