Weak-6: Solution of Quadratic Equations, qualitative analysis of roots of a quadratic
Solving Quadratic Equations:
We saw that quadratic equations can represent many real-life situations. Now that we know what quadratic equations are, let us learn about the different methods to solve them.
LEARNING OUTCOMES:
- Use the quadratic formula and factoring to find both real and complex roots (xx-intercepts) of quadratic functions.
- Use algebra to find the yy-intercepts of a quadratic function.
- Solve problems involving the roots and intercepts of a quadratic function.
- Use the discriminant to determine the nature (real or complex) and quantity of solutions to quadratic equations.
- Determine a quadratic function’s minimum or maximum value.
- Solve problems involving a quadratic function’s minimum or maximum value.