Question

13. Solve 5x² - 6x + 1 = 0 using the quadratic formula. please help me and show work

Answer 1

Answer: x= 1, $\frac{1}{5\\}$

Step-by-step 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, $\frac{1}{5\\}$