Question

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

Answer 1

`x=6+8i`

`x=6-8i`

Explanation:

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

solve by quadratic formula.

`(-b+-√(b^2-4(a*c)) )/(2*a)`

`(12+√((-12)^2-4*(1*100)) )/(2*1)`

`(12-√((-12)^2-4*(1*100)) )/(2*1)`

which is

`x=(12+16i)/(2)`

`x=(12-16i)/(2)`

Simplify.

`x=6+8i`

`x=6-8i`

Solved.

Hope this helps.