What is the answer to sqrt(3x+12)-1=sqrt(5x+9) ?

The answer to sqrt(3x+12)-1=sqrt(5x+9) is x=-1

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sqrt(3x+12)-1=sqrt(5x+9)

3 x + 12 - 1 = 5 x + 9

x = - 1

Solution steps

3 x + 12 - 1 = 5 x + 9

Remove square roots

12 x + 48 = 4 x^{2} - 16 x + 16

Solve

12 x + 48 = 4 x^{2} - 16 x + 16 : x = 8, x = - 1

x = 8, x = - 1

Verify Solutions:

x = 8

False

, x = - 1

True

The solution is

x = - 1

2 x - 2 = x - 5

4 - x - 8 = x + 5

x^{2} - x - 7 = x + 4

x + 5 = 9

9 - x^{2} = x + 3

What is the answer to sqrt(3x+12)-1=sqrt(5x+9) ?
The answer to sqrt(3x+12)-1=sqrt(5x+9) is x=-1
Solve for x: sqrt(3x+12)-1=sqrt(5x+9)
The solution is x=-1