Question

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 5y2 – 8y = 2

Answer 1

Answer:

$\text{The roots are }\frac{4}{5}\pm \frac{\sqrt{26}}{5}$      

Step-by-step explanation:

Given the equation

$5y^2-8y=2$

we have to solve the above equation using quadratic formula

$5y^2-8y-2=0$

$\text{Comparing above equation with the standard equation }ax^2+bx+c=0\text{ , we get}$

a=5, b=-8, c=-2

By quadratic formula the solution is

$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$y=\frac{8\pm \sqrt{(-8)^2-4(5)(-2)}}{2(5)}$

$y=\frac{8\pm \sqrt{104}}{10}$

$y=\frac{4}{5}\pm \frac{2\sqrt{26}}{10}=\frac{4}{5}\pm \frac{\sqrt{26}}{5}$

$\text{The roots are }\frac{4}{5}\pm \frac{\sqrt{26}}{5}$