What is the answer to 4+sqrt(x+6)=6+sqrt(2x-5) ?

The answer to 4+sqrt(x+6)=6+sqrt(2x-5) is x=3

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4+sqrt(x+6)=6+sqrt(2x-5)

4 + x + 6 = 6 + 2 x - 5

x = 3

Solution steps

4 + x + 6 = 6 + 2 x - 5

Remove square roots

x^{2} - 14 x + 49 = 32 x - 80

Solve

x^{2} - 14 x + 49 = 32 x - 80 : x = 43, x = 3

x = 43, x = 3

Verify Solutions:

x = 43

False

, x = 3

True

The solution is

x = 3

x - 1 + x + 3 = 2

x, (f) x = x^{2} + 4

- u + 2 u - 1 = 0

2 y = 19 y + 33

7 u - 10 = u

What is the answer to 4+sqrt(x+6)=6+sqrt(2x-5) ?
The answer to 4+sqrt(x+6)=6+sqrt(2x-5) is x=3
Solve for x: 4+sqrt(x+6)=6+sqrt(2x-5)
The solution is x=3