What is the answer to sqrt(6x+12)-sqrt(4x+9)=1 ?

The answer to sqrt(6x+12)-sqrt(4x+9)=1 is x=4

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sqrt(6x+12)-sqrt(4x+9)=1

6 x + 12 - 4 x + 9 = 1

x = 4

Solution steps

6 x + 12 - 4 x + 9 = 1

Remove square roots

4 x^{2} + 8 x + 4 = 16 x + 36

Solve

4 x^{2} + 8 x + 4 = 16 x + 36 : x = 4, x = - 2

x = 4, x = - 2

Verify Solutions:

x = 4

True

, x = - 2

False

The solution is

x = 4

x - 3 + 1 = x

2 + \frac{x ^{2} - 9}{x - 4} = 0

2 x + 7 - x = 2

x + 6 = x + 4

x^{\frac{3}{2}} = x^{3}

What is the answer to sqrt(6x+12)-sqrt(4x+9)=1 ?
The answer to sqrt(6x+12)-sqrt(4x+9)=1 is x=4
Solve for x: sqrt(6x+12)-sqrt(4x+9)=1
The solution is x=4