Question

Find the roots of the following quadratic equation by factorization:$\surd x_2-7x+5\surd =0$

Answer 1

Considering the given equation to be $x^2-7x+\sqrt{5}=0$

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-7)\pm \sqrt{{(-7)}^2-4\cdot 1\sqrt{5}}}{2\cdot 1}$

$=\frac{7\pm \sqrt{49-4\sqrt{5}}}{2}$