What is the answer to sqrt(3x-5)-sqrt(x+7)=1 ?

The answer to sqrt(3x-5)-sqrt(x+7)=1 is x=(14+sqrt(55))/2

Solve for x: sqrt(3x-5)-sqrt(x+7)=1

The solution is x=(14+sqrt(55))/2

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3 x - 5 - x + 7 = 1

x = \frac{14 + 55}{2}

Decimal Notation

x = 10.70809 \dots

Solution steps

3 x - 5 - x + 7 = 1

Remove square roots

4 x^{2} - 52 x + 169 = 4 x + 28

Solve

4 x^{2} - 52 x + 169 = 4 x + 28 : x = \frac{14 + 55}{2}, x = \frac{14 - 55}{2}

x = \frac{14 + 55}{2}, x = \frac{14 - 55}{2}

Verify Solutions:

x = \frac{14 + 55}{2}

True

, x = \frac{14 - 55}{2}

False

The solution is

x = \frac{14 + 55}{2}

2 = x

x + x^{2} = 0

x, 2 x - 5 y = - 1

3 x + 1 = 0

x + 4 = 7

What is the answer to sqrt(3x-5)-sqrt(x+7)=1 ?
The answer to sqrt(3x-5)-sqrt(x+7)=1 is x=(14+sqrt(55))/2
Solve for x: sqrt(3x-5)-sqrt(x+7)=1
The solution is x=(14+sqrt(55))/2