What is the answer to solvefor x,f+1/x*f(-x)=2x ?

The answer to solvefor x,f+1/x*f(-x)=2x is x=(f+sqrt(f^2+8f(-x)))/4 ,x=(f-sqrt(f^2+8f(-x)))/4

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solvefor x,f+1/x*f(-x)=2x

solve for

x, f + \frac{1}{x} \cdot f (- x) = 2 x

x = \frac{f + f ^{2} + 8 f ( - x )}{4}, x = \frac{f - f ^{2} + 8 f ( - x )}{4}

Solution steps

f + \frac{1}{x} f (- x) = 2 x

Simplify

\frac{1}{x} f (- x) : \frac{f ( - x )}{x}

f + \frac{f ( - x )}{x} = 2 x

Multiply both sides by

x

f x + f (- x) = 2 x^{2}

Solve

f x + f (- x) = 2 x^{2} : x = \frac{f + f ^{2} + 8 f ( - x )}{4}, x = \frac{f - f ^{2} + 8 f ( - x )}{4}

x = \frac{f + f ^{2} + 8 f ( - x )}{4}, x = \frac{f - f ^{2} + 8 f ( - x )}{4}

\frac{a}{( x - a )} + \frac{b}{( x - b )} = 2 \frac{c}{( x - c )}

a^{2} = a^{- 2}

8400 x^{- 1} = 1 mod 11

\frac{( x + 8 )}{x} = e^{3}

\frac{1.5}{3} = \frac{1}{x}

What is the answer to solvefor x,f+1/x*f(-x)=2x ?
The answer to solvefor x,f+1/x*f(-x)=2x is x=(f+sqrt(f^2+8f(-x)))/4 ,x=(f-sqrt(f^2+8f(-x)))/4