Question

Solve the equation by using the Quadratic Formula.

𝑥^2+𝑥−8=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.

Answer 1

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

Discriminant: Δ = 1^2 - 4(1)(-8) = 33.

Solutions: x = (-1 ± sqrt(33))/2.