Question

What is the quadratic formula of #0=10x^2 + 9x-1#?

Answer 1

Quadratic formula is:

$x = \frac{- b +/- \sqrt{ b^{2} - 4ac} }{2a}$

Plug in:

$x = \frac{-9 +/- \sqrt{9^{2} - 4(10)(-1)} }{2(10)}$

$x = \frac{-9 +/- \sqrt{81 + 40}}{20}$

$x = \frac{- 9 +/- \sqrt{121}}{20}$

$x = \frac{- 9 +/- 11}{20}$

$x = \frac{-9 - 11}{20}$ and $x = \frac{- 9 + 11}{20}$

$x = \frac{- 20}{20}$ and $x = \frac{2}{20}$

$x = - 1, \frac{1}{10}$