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

Find The Exact Solutions To X23x10 By Using The Quadratic Formulal class=

Sagot :

Given

[tex]x^2-3x+1=0[/tex]

Find

Exact solution by quadratic formula

Explanation

Quadratic formula is given by

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

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

substitute the values in quadratic formula ,

[tex]\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}[/tex]

Final Answer

Therefore , the correct option is 4.

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