What is the answer to A= 1/(sqrt(x)+10) ?

The answer to A= 1/(sqrt(x)+10) is x= 1/(A^2)-(20)/A+100 {0<A< 1/10 }

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A= 1/(sqrt(x)+10)

A = \frac{1}{x + 10}

x = \frac{1}{A ^{2}} - \frac{20}{A} + 100 {0 < A < \frac{1}{10}}

Solution steps

A = \frac{1}{x + 10}

Multiply both sides by

x + 10

A (x + 10) = \frac{1}{x + 10} (x + 10)

Simplify

A (x + 10) = 1

Expand

A (x + 10) : A x + 10 A

A x + 10 A = 1

Move

10 A

to the right side

A x = 1 - 10 A

Divide both sides by

A

x = \frac{1 - 10 A}{A}

Square both sides:

x = \frac{1}{A ^{2}} - \frac{20}{A} + 100

x = \frac{1}{A ^{2}} - \frac{20}{A} + 100

Verify Solutions:

x = \frac{1}{A ^{2}} - \frac{20}{A} + 100 {0 < A < \frac{1}{10}}

The solution is

x = \frac{1}{A ^{2}} - \frac{20}{A} + 100 {0 < A < \frac{1}{10}}

40 = 120 - 4 q

4 x - 12 = x - 3

x - 4 + x + 4 = 4

10 = u^{0.5} + u^{0.8} + u^{1.1}

(x - 1)^{\frac{3}{2}} + 15 = 7

What is the answer to A= 1/(sqrt(x)+10) ?
The answer to A= 1/(sqrt(x)+10) is x= 1/(A^2)-(20)/A+100 {0<A< 1/10 }