[tex]\Large\color{aqua}\underline\mathbb{DISCRIMINANT}[/tex]
solve the discriminant of 6x² - 2x - 1 = 0 then determine the nature of roots.
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To determine the discriminant, use the formula b² - 4ac. Identify first the values of a, b, and c by using the quadratic form ax² + bx + c = 0.
- ax² + bx + c = 0
- 6x² - 2x - 1 = 0
- a = 6, b = -2, c = -1
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- b² - 4ac
- (-2)² - 4(6)(-1)
- 4 - 4(-6)
- 4 + 24
- 28
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∴ Therefore, the discriminant is 28. Since i is greater than 0, it means it has two real roots.
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[tex]\color{purple}\underline\mathbb{ANSWER:}[/tex]
- Discriminant: 28
- Nature of roots: Two real roots
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[tex]\tt\color{aqua}{10:49 \: am}[/tex]
[tex]\tt{3/2/22}[/tex]
