Question

Solve the equation by using the Quadratic Formula.

3⁢𝑥^2+36=0

Simplify your solutions. If the solutions are real rational numbers, list from least to greatest separated by a comma. If the solutions are not real numbers, write your answer in the form a ± bi. If the solutions are irrational, write your answer in simplified radical form, using ± to express both solution

Answer 1

Use the quadratic formula with a = 3, b = 0, c = 36:

x = [ -0 ± sqrt(0 - 4·3·36 ) ] / (2·3)
= ± sqrt( -432 ) / 6
= ± (12√3 i) / 6
= ± 2√3 i.

In the form a ± bi: 0 ± 2√3 i.