How Will This Worksheet on “Solve the Quadratic Equation by Quadratic Formula” Benefit Your Student's Learning?
- Reinforces understanding of the quadratic formula.
- Provides extensive practice in solving quadratic equations.
- Bridges theoretical math concepts with real-world applications.
- Improves algebraic manipulation skills.
- Enhances graphing and visual interpretation abilities.
- Prepares students effectively for exams and assessments.
- Encourages independent problem-solving.
- Develops critical thinking through logical problem-solving steps.
How to Solve the Quadratic Equation by Quadratic Formula?
`1`. Ensure the equation is in the form \( ax^2 + bx + c = 0 \) and identify the values of \( a \), \( b \), and \( c \).
`2`. Substitute the values of \( a \), \( b \), and \( c \) into the quadratic formula:
\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]
`3`. Compute \( b^2 - 4ac \), known as the discriminant.
`4`. Depending on the value of the discriminant:
- If \( b^2 - 4ac > 0 \), there are two real solutions.
- If \( b^2 - 4ac = 0 \), there is one real solution (a repeated root).
- If \( b^2 - 4ac < 0 \), there are two complex solutions.
`5`. Substitute the discriminant value into the formula and calculate \( x \) using both the plus and minus signs in the formula to find the solutions.
