Practice - Relations Between Roots and Coefficients
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Practice Questions
Test your understanding with targeted questions
What is the sum and product of the roots for the equation x² - 7x + 10 = 0?
💡 Hint: Use the formulas: Sum = -b/a and Product = c/a.
For the quadratic equation 5x² + 20x + 15 = 0, find the sum of the roots.
💡 Hint: Remember Sum of roots = -b/a; what is -20/5?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the sum of roots in a quadratic equation?
💡 Hint: Think about how the coefficient 'b' is used in the formula.
True or False: The product of the roots of the quadratic equation ax² + bx + c = 0 is given by c/a.
💡 Hint: Recall the product of roots relationship.
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Challenge Problems
Push your limits with advanced challenges
A quadratic equation has roots that are in the ratio of 2:1. If the sum of the roots is 12, write the equation.
💡 Hint: Set up a relationship using the given ratio and sum.
Determine the quadratic equation if the roots are -3 and 5.
💡 Hint: Use the reverse of the sum and product formulas to construct the equation.
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Reference links
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