What is the answer to sqrt(x+5)-1=sqrt(4x-12) ?

The answer to sqrt(x+5)-1=sqrt(4x-12) is x=4

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sqrt(x+5)-1=sqrt(4x-12)

x + 5 - 1 = 4 x - 12

x = 4

Solution steps

x + 5 - 1 = 4 x - 12

Remove square roots

4 x + 20 = 9 x^{2} - 108 x + 324

Solve

4 x + 20 = 9 x^{2} - 108 x + 324 : x = \frac{76}{9}, x = 4

x = \frac{76}{9}, x = 4

Verify Solutions:

x = \frac{76}{9}

False

, x = 4

True

The solution is

x = 4

x^{2} - 1 = x - x - 1

6 - 3 x - 5 = 1

x = 1 + x^{2} + 9

3 x^{\frac{2}{3}} - 20 x^{\frac{1}{3}} - 7 = 0

3 x - 8 = 19

What is the answer to sqrt(x+5)-1=sqrt(4x-12) ?
The answer to sqrt(x+5)-1=sqrt(4x-12) is x=4
Solve for x: sqrt(x+5)-1=sqrt(4x-12)
The solution is x=4