What is the answer to (x)= 1/(sqrt(x+9)) ?

The answer to (x)= 1/(sqrt(x+9)) is x\approx 0.32743…

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(x)= 1/(sqrt(x+9))

(x) = \frac{1}{x + 9}

x \approx 0.32743 \dots

Solution steps

(x) = \frac{1}{x + 9}

Multiply both sides by

x + 9

x x + 9 = \frac{1}{x + 9} x + 9

Simplify

x x + 9 = 1

Square both sides:

x^{3} + 9 x^{2} = 1

x^{3} + 9 x^{2} = 1

Solve

x^{3} + 9 x^{2} = 1 : x \approx 0.32743 \dots, x \approx - 0.33981 \dots, x \approx - 8.98762 \dots

x \approx 0.32743 \dots, x \approx - 0.33981 \dots, x \approx - 8.98762 \dots

Verify Solutions:

x \approx 0.32743 \dots

True

, x \approx - 0.33981 \dots

False

, x \approx - 8.98762 \dots

False

The solution is

x \approx 0.32743 \dots

d + 7 = 3 4 d

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

x, z = x y

4 + 6 x - 8 = x

x = 2 x - 1

What is the answer to (x)= 1/(sqrt(x+9)) ?
The answer to (x)= 1/(sqrt(x+9)) is x\approx 0.32743…
Solve for x: (x)= 1/(sqrt(x+9))
The solution is x\approx 0.32743…