What is the answer to sqrt(x-1)sqrt(2x+6)=x+3 ?

The answer to sqrt(x-1)sqrt(2x+6)=x+3 is x=5

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sqrt(x-1)sqrt(2x+6)=x+3

x - 1 2 x + 6 = x + 3

x = 5

Solution steps

x - 1 2 x + 6 = x + 3

Square both sides:

2 x^{2} + 4 x - 6 = x^{2} + 6 x + 9

2 x^{2} + 4 x - 6 = x^{2} + 6 x + 9

Solve

2 x^{2} + 4 x - 6 = x^{2} + 6 x + 9 : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions:

x = 5

True

, x = - 3

False

The solution is

x = 5

x^{2} + 48 = 8

\frac{3 x}{x - 6} = 3

x - 13 = 5 - x + 2

3 + 2 x = x - 1

x^{2} + 27 - 3 = x

What is the answer to sqrt(x-1)sqrt(2x+6)=x+3 ?
The answer to sqrt(x-1)sqrt(2x+6)=x+3 is x=5
Solve for x: sqrt(x-1)sqrt(2x+6)=x+3
The solution is x=5