What is the answer to sqrt(12x+22)-sqrt(8x+34)=-1 ?

The answer to sqrt(12x+22)-sqrt(8x+34)=-1 is x= 1/4

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sqrt(12x+22)-sqrt(8x+34)=-1

12 x + 22 - 8 x + 34 = - 1

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

12 x + 22 - 8 x + 34 = - 1

Remove square roots

16 x^{2} - 104 x + 169 = 32 x + 136

Solve

16 x^{2} - 104 x + 169 = 32 x + 136 : x = \frac{33}{4}, x = \frac{1}{4}

x = \frac{33}{4}, x = \frac{1}{4}

Verify Solutions:

x = \frac{33}{4}

False

, x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

x + 2 = 14

x, 2 x + 3 y + 4 z = 10

x^{5} + 82 = 3

0 = 4 x - 20 - 4 x

3 + 5 x - 9 = x

What is the answer to sqrt(12x+22)-sqrt(8x+34)=-1 ?
The answer to sqrt(12x+22)-sqrt(8x+34)=-1 is x= 1/4
Solve for x: sqrt(12x+22)-sqrt(8x+34)=-1
The solution is x= 1/4