Quadratic Eq
ax² + bx + c = 0
x² +
x +
= 0
Solving Quadratic Equations
A quadratic equation is a polynomial equation of degree 2, typically written in the form:
ax² + bx + c = 0
The Quadratic Formula
To find the roots (values of x), we use the formula:
x = [-b ± √(b² - 4ac)] / 2a
The Discriminant (Δ)
The term inside the square root b² - 4ac determines the nature of the roots:
- Positive (>0): Two distinct real roots.
- Zero (=0): One real root (repeated).
- Negative (<0):< /strong> Two complex/imaginary roots.
FAQ
What is a parabola?
The graph of a quadratic function is a U-shaped curve called a parabola. The roots are the points where the curve crosses the x-axis.