# How do you solve 0.800x^2 -3.4x + 1.6 = 0?

Mar 26, 2016

$x \approx 3.711 \text{ } x \approx 0.539$ to 3 decimal places (3dp)

#### Explanation:

To make the numbers easier multiply everything by 10

$\text{ } 8 {x}^{2} - 34 x + 16 = 0$

This does not have whole number solutions so you need to use the formula method.

$y = a {x}^{2} + b x + c \text{ where } x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

$x = \frac{+ 34 \pm \sqrt{{\left(- 34\right)}^{2} - 4 \left(8\right) \left(16\right)}}{2 \left(8\right)}$

$x = \frac{+ 34 \pm \sqrt{644}}{2 \left(8\right)}$

$x = \frac{+ 34 \pm 2 \sqrt{161}}{16}$

$x \approx 3.711 \text{ } x \approx 0.539$ to 3 decimal places (3dp)