Practice Quadratic Formula (3.3) - Quadratic Functions - IB 10 Mathematics – Group 5, Algebra
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Quadratic Formula

Practice - Quadratic Formula

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Practice Questions

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Question 1 Easy

Solve using the quadratic formula: $x^2 - 5x + 6 = 0$.

💡 Hint: Use the quadratic formula: $x = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}$.

Question 2 Easy

Find the discriminant for $2x^2 + 4x + 2 = 0$.

💡 Hint: Calculate $b^2 - 4ac$.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the quadratic formula?

💡 Hint: Remember it comes from completing the square.

Question 2

If the discriminant is less than zero, what does it indicate?

Real Roots
No Real Roots

💡 Hint: Think about the parabola's position relative to the x-axis.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A rocket is launched, and its height is given by h(t) = -16(t^2) + 96t + 50. When does it reach its maximum height, and how high does it go?

💡 Hint: Calculate the vertex using the vertex formula.

Challenge 2 Hard

For the equation 5x^2 - 20x + 15 = 0, identify the type of roots and solve it using the quadratic formula.

💡 Hint: Use the quadratic formula directly and analyze the discriminant.

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