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

The answer to (x)= 1/(sqrt(x+1)) is x\approx 0.75487…

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

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

x \approx 0.75487 \dots

Solution steps

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

Multiply both sides by

x + 1

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

Simplify

x x + 1 = 1

Square both sides:

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

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

Solve

x^{3} + x^{2} = 1 : x \approx 0.75487 \dots

x \approx 0.75487 \dots

Verify Solutions:

x \approx 0.75487 \dots

True

The solution is

x \approx 0.75487 \dots

(x - 3)^{\frac{3}{2}} = 64

10 = 6^{2} + x^{2}

x^{2} + 6 x + 6 x + 8 + x^{2} = 64

2 π (0.9) = \frac{9.8}{x}

v^{2} + 49 - 7 = 0.8 (40)

What is the answer to (x)= 1/(sqrt(x+1)) ?
The answer to (x)= 1/(sqrt(x+1)) is x\approx 0.75487…
Solve for x: (x)= 1/(sqrt(x+1))
The solution is x\approx 0.75487…