Practice Quadratic Formula (2.3) - Quadratic Equations - IB 10 Mathematics

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6 sample questions

Question 1.
What is the quadratic formula?
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Remember the terms under the square root!
Question 2.
What does the discriminant tell us?
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Remember the different conditions: D > 0, D = 0, D < 0.
3Question 3.
What is the quadratic formula?
- x = (-b ± √(b² - 4ac)) / (2a)
- x = (b ± √(b² - 4ac)) / (a)
- x = (b² ± 4ac) / (-a)
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Look for the standard expression involving a, b, and c.
4Question 4.
True or False: The discriminant can be negative, indicating complex roots.
- True
- False
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Remember what happens in the square root for negative values.
Question 5.
A quadratic equation is given as x² + 6x + 9 = 0. Determine the roots and describe their nature.
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Start with computing the discriminant.
Question 6.
Find the quadratic equation if the roots are 1 and -4. Form the equation using the roots method.
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Use the sum (1 + (-4) = -3) and product (1 * -4 = -4) of the roots to form the equation.

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