What is the answer to solvefor a,x=a+2/(5a) ?

The answer to solvefor a,x=a+2/(5a) is a=(5x+sqrt(25x^2-40))/(10),a=(5x-sqrt(25x^2-40))/(10)

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solvefor a,x=a+2/(5a)

solve for

a, x = a + \frac{2}{5 a}

a = \frac{5 x + 25 x ^{2} - 40}{10}, a = \frac{5 x - 25 x ^{2} - 40}{10}

Solution steps

x = a + \frac{2}{5 a}

Multiply both sides by

5 a

x \cdot 5 a = 5 a^{2} + 2

Solve

x \cdot 5 a = 5 a^{2} + 2 : a = \frac{5 x + 25 x ^{2} - 40}{10}, a = \frac{5 x - 25 x ^{2} - 40}{10}

a = \frac{5 x + 25 x ^{2} - 40}{10}, a = \frac{5 x - 25 x ^{2} - 40}{10}

4 = \frac{1}{a ^{2}}

- \frac{768}{( 3 x - 8 ) ^{2}} + 4 = 0

- \frac{2}{11} = \frac{2}{5 x + 4}

- 1 (x) = \frac{x ^{2} - 6 x + 3}{x + 4}

\frac{20 t}{t ^{2} + 4} = 4

What is the answer to solvefor a,x=a+2/(5a) ?
The answer to solvefor a,x=a+2/(5a) is a=(5x+sqrt(25x^2-40))/(10),a=(5x-sqrt(25x^2-40))/(10)