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Hayazumigo
Answered

Characterize the roots of the following quadratic equations using discriminant b² -4ac, show your solutions.


1. x² + 4× + 3 = 0

2. x² -5× + 4 = 0

3. x² + 7 = 0

4. 4x² -4× + 1 = 0

5. 2x² + 6× + 3 = 0


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Answer:

True or false: for a quadratic function of form ax2 + bx + c = 0, if the discriminant b2 - 4ac = 0, there is exactly one real root.

Possible Answers:

True

False

Correct answer:

True

Explanation:

This is true. The discriminant b2 - 4ac is the part of the quadratic formula that lives inside of a square root function. As you plug in the constants a, b, and c into b2 - 4ac and evaluate, three cases can happen:

b2 - 4ac > 0

b2 - 4ac = 0

b2 - 4ac < 0

Step-by-step explanation:

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