3 Questions
Which of the following is the standard form of a quadratic equation?
ax^2 + bx + c = 0
What is the formula to find the roots of a quadratic equation?
x = (-b ± √(b^2 - 4ac)) / 2a
What is the discriminant of a quadratic equation used for?
To determine the number and nature of the solutions
Study Notes
Quadratic Equation
- The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants, and a ≠ 0.
Roots of a Quadratic Equation
- The formula to find the roots of a quadratic equation is x = (-b ± √(b^2 - 4ac)) / 2a.
Discriminant of a Quadratic Equation
- The discriminant of a quadratic equation is b^2 - 4ac, and it is used to determine the nature of the roots:
- If the discriminant is greater than 0, the roots are real and distinct.
- If the discriminant is equal to 0, the roots are real and identical.
- If the discriminant is less than 0, the roots are complex and distinct.
Test your knowledge on quadratic equations with this quiz! Learn about the standard form, the purpose of the discriminant, and the formula to find the roots of quadratic equations.
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