100k views
2 votes
How many ordered pair solutions does a quadratic function typically have within the realm of a parabola?

a) One solution
b) Two solutions
c) Infinite solutions
d) No solutions

User Manash
by
7.7k points

1 Answer

4 votes

Final answer:

A quadratic function typically has two ordered pair solutions, determined by the discriminant ∅ (delta) in the quadratic formula.

Step-by-step explanation:

The number of ordered pair solutions a quadratic function typically has within the realm of a parabola depends on the discriminant ∅ (delta), which is derived from the quadratic formula. The standard form of a quadratic equation is ax² + bx + c = 0. Using the quadratic formula, which is x = −b ± √(b² - 4ac) / (2a), we can determone the discriminant as the part under the square root, b² - 4ac. For a quadratic equation with constants a = 1.00, b = 10.0, and c = -200, the discriminant is positive, which generally leads to two solutions. Hence, a quadratic function generally has two ordered pair solutions.

User Itzhar
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories