Answer:
{-0.5, 0.1}
Step-by-step explanation:
- multiply the 8 on the left with x/x so you can write left hand as [tex]\frac{1-8x}{x}[/tex]
- cross multiply to get rid of the fractions: [tex]5x = (1-8x)(5x+2)[/tex]
- simplify into a regular quadratic equation: [tex]-20x^2 - 8x +1 =0[/tex]
- use the quadratic formula to get the answers:
[tex]x = \frac{8 \pm \sqrt{(-8)^2 - 4 \cdot -20 \cdot 1}}{-40} = \frac{8 \pm 12}{-40}[/tex]
so x is 20/-40 = -0.5 or x = -4/-40 = 0.1
