Final answer:
The solutions are (-1 + √5) / 2 and (-1 - √5) / 2. To solve the quadratic function x²+x-1, you can use the quadratic formula.
Step-by-step explanation:
To solve the quadratic function x²+x-1, we can use the quadratic formula. For an equation of the form ax²+bx+c = 0, the quadratic formula is x = (-b ± √(b^2 - 4ac)) / 2a.
Substituting the values from the given equation, we have x = (-1 ± √(1 - 4(1)(-1))) / 2(1).
This simplifies to x = (-1 ± √5) / 2.
Therefore, the solutions to the quadratic function x²+x-1 are x = (-1 + √5) / 2 and x = (-1 - √5) / 2.