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

Apr 25, 2018

$\frac{- 9 \pm \sqrt{81 - 4 \left(10\right) \left(- 1\right)}}{20}$

#### Explanation:

The equation given is in $a {x}^{2} + b x + c$ form. The general form for the quadratic formula of an unfactorable equation is:
$\frac{- b \pm \sqrt{{b}^{2} - 4 \left(a\right) \left(c\right)}}{2 a}$
just take the terms and plug them in, you should get the correct answer.

Apr 25, 2018

$x = \frac{- 9 \pm \sqrt{{9}^{2} - 4 \left(10\right) \left(- 1\right)}}{2 \left(10\right)}$
The Quadratic Formula is $x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$
The equation $10 {x}^{2} + 9 x - 1$ is in standard form, which is $a {x}^{2} + b x + c$. We can replace the letters in the quadratic formula with the letters from the equation.
$x = \frac{- 9 \pm \sqrt{{9}^{2} - 4 \left(10\right) \left(- 1\right)}}{2 \left(10\right)}$