Objective Describe the roots of a quadratic equation using the discriminant be- 4ac. Direction: Find the discriminant of the following equation and describe the roots.
Example:
[tex]x {}^{2} + 3x + 2 = 0 \\ \\ a = 1 \: \: \: b = 3 \: \: \: c = 1 \\ b {}^{2} - 4ac \\ = 3 {}^{2} - 4(1)(1) \\ = 9 - 4 \\ = 5 \: real \: irrational \: and \: unequal[/tex]
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Example:
[tex]x {}^{2} + 3x + 2 = 0 \\ \\ a = 1 \: \: \: b = 3 \: \: \: c = 1 \\ b {}^{2} - 4ac \\ = 3 {}^{2} - 4(1)(1) \\ = 9 - 4 \\ = 5 \: real \: irrational \: and \: unequal[/tex]
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Ung maayos sana na sagot
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Answer:
1. Discriminant : 121 Nature of roots : Rational and unequal
2. Discriminant : -63 Nature of roots : imaginary
3. Discriminant : 0 Nature of roots : Rational and equal
4. Discriminant : 57 Nature of roots : irrational and unequal
5. Discriminant : 0 Nature of roots : rational and equal
Process questions :
1. I can solve the discriminant by the given formula : b²-4ac. And substituting the formula given the values of a, b, and c.
2. Yes I was able to describe the natures of root. By following or identifying the rules of the discriminant, thus made me easier for me to identify whether or not the nature of roots is real or not.
3. Having knowledge about the discriminant helped me in identifying the roots or solutions whether or not if it is real or imaginary that may help me solve the quadratic equation easily.
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Step-by-step explanation:
2. Discriminant:-81
Di ko po sure yung Number 2
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