Question

What are the solutions to the equation x2−12x+100=0?

Answer 1

Answer:

$x=6+8i$

$x=6-8i$

Step-by-step explanation:

$x^2-12x+100=0$

solve by quadratic formula.

$\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}$

$\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}$

$\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}$

which is

$x=\frac{12+16i}{2}$

$x=\frac{12-16i}{2}$

Simplify.

$x=6+8i$

$x=6-8i$

Solved.

Hope this helps.