What is the answer to 4sqrt(x+1)-2sqrt(x+1+2)=0 ?

The answer to 4sqrt(x+1)-2sqrt(x+1+2)=0 is x=-1/3

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4sqrt(x+1)-2sqrt(x+1+2)=0

4 x + 1 - 2 x + 1 + 2 = 0

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

4 x + 1 - 2 x + 1 + 2 = 0

Remove square roots

16 x + 16 = 4 x + 12

Solve

16 x + 16 = 4 x + 12 : x = - \frac{1}{3}

x = - \frac{1}{3}

Verify Solutions:

x = - \frac{1}{3}

True

The solution is

x = - \frac{1}{3}

6 x + 1 + 1 = x

7 x - 4 = 2 x

x - 9 x + 18 = 0

x^{\frac{1}{3}} = - 1

3 x = 9

What is the answer to 4sqrt(x+1)-2sqrt(x+1+2)=0 ?
The answer to 4sqrt(x+1)-2sqrt(x+1+2)=0 is x=-1/3
Solve for x: 4sqrt(x+1)-2sqrt(x+1+2)=0
The solution is x=-1/3