What is the answer to (x)= 1/(sqrt(x+16)) ?

The answer to (x)= 1/(sqrt(x+16)) is x\approx 0.24808…

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(x)= 1/(sqrt(x+16))

(x) = \frac{1}{x + 16}

x \approx 0.24808 \dots

Solution steps

(x) = \frac{1}{x + 16}

Multiply both sides by

x + 16

x x + 16 = \frac{1}{x + 16} x + 16

Simplify

x x + 16 = 1

Square both sides:

x^{3} + 16 x^{2} = 1

x^{3} + 16 x^{2} = 1

Solve

x^{3} + 16 x^{2} = 1 : x \approx 0.24808 \dots, x \approx - 0.25199 \dots, x \approx - 15.99609 \dots

x \approx 0.24808 \dots, x \approx - 0.25199 \dots, x \approx - 15.99609 \dots

Verify Solutions:

x \approx 0.24808 \dots

True

, x \approx - 0.25199 \dots

False

, x \approx - 15.99609 \dots

False

The solution is

x \approx 0.24808 \dots

8 x + 32 x + 5 = 0

10 = 7 x - 10 x - 4

(4 x + 4)^{\frac{1}{3}} = 2

What is the answer to (x)= 1/(sqrt(x+16)) ?
The answer to (x)= 1/(sqrt(x+16)) is x\approx 0.24808…
Solve for x: (x)= 1/(sqrt(x+16))
The solution is x\approx 0.24808…