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

Explanation

Quadratic formula is given by

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

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

substitute the values in quadratic formula ,

$\begin{gathered} x=\frac{-(-3)\pm\sqrt{(-3)^2-4\times1\times1}}{2\times1} \\ \\ x=\frac{3\pm\sqrt{9-4}}{2} \\ \\ x=\frac{3\pm\sqrt{5}}{2} \end{gathered}$

Final Answer

Therefore , the correct option is 4.