Question

Solve the equation by using the Quadratic Formula.

𝑥^2+8⁢𝑥+15=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. is it irrational or not real numbers?

Answer 1

Use the quadratic formula x = [-b ± sqrt(b^2 - 4ac)]/(2a) with a=1, b=8, c=15.

Discriminant: 8^2 - 4(1)(15) = 64 - 60 = 4, sqrt = 2.

x = (-8 ± 2)/2 → x = (-8+2)/2 = -3, x = (-8-2)/2 = -5.

Ordered least to greatest: -5, -3.

These solutions are real rational numbers (integers), not irrational or nonreal.