Question

13. Solve 5x² - 6x + 1 = 0 using the quadratic formula.

please help me and show work

Answer 1

Answer: x= 1,
`(1)/(5\\)`

Explanation:

The quadratic equation is

`x=\frac{-b+\sqrt{b^(2)-4ac } }{2a}`

and

`x=\frac{-b-\sqrt{b^(2)-4ac } }{2a}`

So we just need to sub in the proper numbers from the equation given, in this case, it would result in

`x=\frac{6+\sqrt{(-6)^(2)-4(5)(1) } }{2(5)}`

and

`x=\frac{6-\sqrt{(-6)^(2)-4(5)(1) } }{2(5)}`

Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers

x= 1,
`(1)/(5\\)`