In all the answer choices, a = 1, so you can say more simply
So the answer is the equation with a = 1, b = −6, and c = 13: x^2 − 6 x + 13 = 0.
Another way to approach this problem is to generate the expression from the roots. If the
solutions are 3 ± 2i, then the factored expression is [x − (3 + 2i)][x − (3 − 2i)].
Multiplying this out gives
Combining like terms gives you
x^2 − 6x + 9 − 4i^2 = x^2 − 6x + 13
27 . E
Draw in a right triangle: