What is the answer to sqrt(2x+6)=1+sqrt(x+4) ?

The answer to sqrt(2x+6)=1+sqrt(x+4) is x=5

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sqrt(2x+6)=1+sqrt(x+4)

2 x + 6 = 1 + x + 4

x = 5

Solution steps

2 x + 6 = 1 + x + 4

Remove square roots

x^{2} + 2 x + 1 = 4 x + 16

Solve

x^{2} + 2 x + 1 = 4 x + 16 : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions:

x = 5

True

, x = - 3

False

The solution is

x = 5

49 - y - y = 7

x = 4 - x^{2}

x^{2} - 4 x + 3 = x - 2

x - 1 + 7 = x

What is the answer to sqrt(2x+6)=1+sqrt(x+4) ?
The answer to sqrt(2x+6)=1+sqrt(x+4) is x=5
Solve for x: sqrt(2x+6)=1+sqrt(x+4)
The solution is x=5