Question

which of the following is a solution to the equation X^2-6X+11=0

a. 3-square root(2i)
b.the equation has no solutions real or conplex
c.3+2square root(2i)
d.3-2i
e.3-2 square root(10)
f.none of the others

Answer 1

Compare your quadratic equation with \(ax^2+bx+c=0\)
find \[a=...?\\b=...?\\c=...?\\\] \[ \\ \sqrt{b^2-4ac}=...?\]
then the two roots of x are:
\(\huge{x_{1,2}=\frac{-b \pm \sqrt{b^2-4ac}}{2a}}\)