Question

Use the quadratic formula to solve the equation.5x2 - 5x +1=0

Answer 1

Given the following equation:

`5x^2-5x+1=0`

We will use the quadratic equation to solve it.

a = 5, b = -5, c = 1

`x=(-b\pm√(b^2-4ac))/(2a)`

Substitute a, b, and c:

`\begin{gathered} x=(5\pm√((-5)^2-4(5)(1)))/(2(5))=(5\pm√(5))/(10) \\ \\ x=(5+√(5))/(10)\approx0.7236 \\ \\ or,x=(5-√(5))/(10)\approx0.2764 \end{gathered}`

so, the answer will be x = {0.2764, 0.7236 }