What is the answer to a=(b/x)+x ?

The answer to a=(b/x)+x is x=(a+sqrt(a^2-4b))/2 ,x=(a-sqrt(a^2-4b))/2

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a=(b/x)+x

a = (\frac{b}{x}) + x

x = \frac{a + a ^{2} - 4 b}{2}, x = \frac{a - a ^{2} - 4 b}{2}

Solution steps

a = (\frac{b}{x}) + x

Simplify

(\frac{b}{x}) : \frac{b}{x}

a = \frac{b}{x} + x

Multiply both sides by

x

a x = b + x^{2}

Solve

a x = b + x^{2} : x = \frac{a + a ^{2} - 4 b}{2}, x = \frac{a - a ^{2} - 4 b}{2}

x = \frac{a + a ^{2} - 4 b}{2}, x = \frac{a - a ^{2} - 4 b}{2}

\frac{3}{x} + \frac{x}{5} = - 2

A, \frac{b + c}{A} = 3

9 = \frac{x}{x}

x, y = \frac{x + 3}{x - 8}

\frac{22 x + 3}{5 x + 6} = \frac{1}{2}

What is the answer to a=(b/x)+x ?
The answer to a=(b/x)+x is x=(a+sqrt(a^2-4b))/2 ,x=(a-sqrt(a^2-4b))/2