Practice Forming Quadratic Equations (4) - Quadratic Equations - IB 10 Mathematics – Group 5, Algebra
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Forming Quadratic Equations

Practice - Forming Quadratic Equations

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Form a quadratic equation with roots 1 and 2.

💡 Hint: Use the formula x^2 - (alpha + beta)x + alpha*beta.

Question 2 Easy

What is the quadratic equation with roots -1 and 3?

💡 Hint: Remember to add the roots and multiply them.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the general form of a quadratic equation?

ax + b = 0
ax^2 + bx + c = 0
a + b = c

💡 Hint: Look for the form that includes x squared.

Question 2

True or False: Roots of the quadratic equation can be negative.

True
False

💡 Hint: Consider the impact of the signs of roots.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given roots -2 and 5, what is the corresponding quadratic equation? Also, describe how these roots affect the graph.

💡 Hint: Use the sum of the roots and their product to find coefficients.

Challenge 2 Hard

A scenario involves finding dimensions of a rectangular field where roots represent plausible side lengths. The roots are 2 and 8. Formulate the equation.

💡 Hint: Think about how the area relates to the equation formed.

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