Math Problem Statement
HOMEWORK quadraticformula worksheet (1).pdf
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Solution
The document you've uploaded contains quadratic equation problems. Here are some solutions based on the problems presented:
Question 1:
Solve .
Solution:
We use the quadratic formula , where , , and .
- Discriminant: .
- Roots:
So, the exact roots are and .
Question 2:
Solve , giving answers accurate to 2 decimal places.
Solution:
Using the quadratic formula with , , and :
- Discriminant: .
- Roots:
Approximate values:
Would you like more detailed explanations for any of these, or should I solve additional problems from the document?
Here are some related questions to consider:
- How do you apply the quadratic formula to solve any equation?
- What is the significance of the discriminant in quadratic equations?
- What methods exist to solve quadratic equations besides the quadratic formula?
- How can we factor quadratic equations when the discriminant is a perfect square?
- Why are some quadratic solutions left in exact form and others in decimal form?
Tip: Always check the discriminant first, as it tells you whether you'll have real, repeated, or complex roots.
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Math Problem Analysis
Mathematical Concepts
Quadratic Equations
Algebra
Formulas
Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
Theorems
Quadratic Formula Theorem
Suitable Grade Level
Grades 9-12