Question

Find the exact solutions to x2-3x+1-0 by using the Quadratic Formulal

Answer 1

Given

`x^2-3x+1=0`

Find

Exact solution by quadratic formula

Step-by-step explanation

Quadratic formula is given by

`x=(-b\pm√(b^2-4ac))/(2a)`

here a = 1 , b = -3 and c = 1

substitute the values in quadratic formula ,

`\begin{gathered} x=(-(-3)\pm√((-3)^2-4*1*1))/(2*1) \\ \\ x=(3\pm√(9-4))/(2) \\ \\ x=(3\pm√(5))/(2) \end{gathered}`

Final Answer

Therefore , the correct option is 4.