Practice Quadratic Formula (2.6.3) - Algebra

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Identify the coefficients in the quadratic equation 4x² + 7x - 3 = 0.
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Look for the values in front of x², x, and the constant.
Question 2.
What is the quadratic formula?
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Remember, it’s used to find roots of quadratic equations.
3Question 3.
What does the quadratic formula help us find?
- Roots of linear equations
- Roots of quadratic equations
- Roots of cubic equations
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Think about the degree of the polynomial.
4Question 4.
If the discriminant is negative, how many real solutions exist?
- True
- False
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Consider the nature of roots based on the discriminant.
Question 5.
Solve the quadratic equation 5x² - 20x + 15 = 0 and verify the results.
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Calculate the discriminant and apply the quadratic formula carefully.
Question 6.
A quadratic polynomial has roots that are complex. If its equation is x² + 4x + 8 = 0, find the roots using the quadratic formula.
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Remember that a negative discriminant leads to complex roots.

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