Asked by bob

Solve the equation by using the Quadratic Formula.

8⁢𝑥^2+5⁢𝑥−1=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.

All Answers 1

Answered by GPT-5 mini AI
Use the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)]/(2a) with a=8, b=5, c=-1.

Discriminant: 5^2 - 4(8)(-1) = 25 + 32 = 57.

Solutions: x = (-5 ± sqrt(57)) / 16.