Question

Solve the equation by using the quadratic formula:2 − 8 + 13 = 0

Answer 1

The equation is given as

$x^2-8x+13=0$

Solve the quadratic expression by quadratic formula

$x=\frac{8\pm\sqrt[]{64-52}}{2}=\frac{8\pm\sqrt[]{12}}{2}=\frac{8\pm2\sqrt[]{3}}{2}=4\pm\sqrt[]{3}$

Hence the value of x is obtained as

$4+\sqrt[]{3},4-\sqrt[]{3}$