What is the answer to sqrt(x+2)= 1/(x+1) ?

The answer to sqrt(x+2)= 1/(x+1) is x\approx-0.24512…

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sqrt(x+2)= 1/(x+1)

x + 2 = \frac{1}{x + 1}

x \approx - 0.24512 \dots

Solution steps

x + 2 = \frac{1}{x + 1}

Multiply both sides by

x + 1

x + 2 (x + 1) = \frac{1}{x + 1} (x + 1)

Simplify

x + 2 (x + 1) = 1

Expand

x + 2 (x + 1) : x + 2 x + x + 2

x + 2 x + x + 2 = 1

Factor

x + 2 x + x + 2 : (x + 1) x + 2

(x + 1) x + 2 = 1

Square both sides:

x^{3} + 4 x^{2} + 5 x + 2 = 1

x^{3} + 4 x^{2} + 5 x + 2 = 1

Solve

x^{3} + 4 x^{2} + 5 x + 2 = 1 : x \approx - 0.24512 \dots

x \approx - 0.24512 \dots

Verify Solutions:

x \approx - 0.24512 \dots

True

The solution is

x \approx - 0.24512 \dots

6 x - 1 = 7

2 x + 1 = x + 3

x^{2} - x - 6 = x - 3

x + 4 - 7 = 0

A, B A - h = t

What is the answer to sqrt(x+2)= 1/(x+1) ?
The answer to sqrt(x+2)= 1/(x+1) is x\approx-0.24512…
Solve for x: sqrt(x+2)= 1/(x+1)
The solution is x\approx-0.24512…