Question

Solve the equation by using the Quadratic Formula.

𝑥^2−18⁢𝑥+72=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 solutions. irrational or not real numbers?

Answer 1

Use the quadratic formula: x = [18 ± sqrt(324 − 288)]/2 = [18 ± sqrt(36)]/2 = [18 ± 6]/2.

So x = 6 or x = 12. They are real rational numbers; listed least to greatest: 6, 12.