What is the inverse of 2x^2-1/3 x-19/14 ?

The inverse of 2x^2-1/3 x-19/14 is (14+sqrt(14112x+19348))/(168),(14-sqrt(14112x+19348))/(168)

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inverse of 2x^2-1/3 x-19/14

inverse

2 x^{2} - \frac{1}{3} x - \frac{19}{14}

\frac{14 + 14112 x + 19348}{168}, \frac{14 - 14112 x + 19348}{168}

Solution steps

y = 2 x^{2} - \frac{1}{3} x - \frac{19}{14}

Replace

x

with

y

x = 2 y^{2} - \frac{1}{3} y - \frac{19}{14}

Solve for

y, x = 2 y^{2} - \frac{1}{3} y - \frac{19}{14}

\frac{14 + 14112 x + 19348}{168}, \frac{14 - 14112 x + 19348}{168}

\frac{s + 2}{s ^{2} + 25}

f (x) = - \frac{1}{32} x^{2} - \frac{1}{8} x + \frac{3}{8}

f (x) = 30 x^{6}

- 6.5

\frac{( x + 5 )}{27}

What is the inverse of 2x^2-1/3 x-19/14 ?
The inverse of 2x^2-1/3 x-19/14 is (14+sqrt(14112x+19348))/(168),(14-sqrt(14112x+19348))/(168)