Grade 9 Math: The Discriminant
This worksheet focuses on understanding and applying the discriminant to determine the nature of roots of quadratic equations.
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Grade 9 Math: The Discriminant
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Read each question carefully and answer to the best of your ability. Show your work where applicable.
1. What is the discriminant of a quadratic equation in the form ax² + bx + c = 0? Write down the formula.
2. If the discriminant of a quadratic equation is positive, how many real solutions does the equation have?
Zero
One
Two
Infinite
3. Calculate the discriminant for the quadratic equation x² + 5x + 6 = 0. The discriminant is .
4. For the equation 2x² - 3x + 1 = 0, the discriminant is .
5. Determine the nature of the roots for the equation x² - 4x + 4 = 0 using the discriminant.
6. If the discriminant is negative, the quadratic equation has two distinct real roots.
True
False
7. Find the value(s) of 'k' for which the quadratic equation x² + kx + 9 = 0 has exactly one real solution.