Find the value of the discriminant for the
quadratic equation 2x² - x +2=0
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Answers
Answered by
33
EXPLANATION.
Value of the discriminant.
⇒ 2x² - x + 2 = 0.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ D = (-1)² - 4(2)(2).
⇒ D = 1 - 16.
⇒ D = -15.
MORE INFORMATION.
Nature of the factors of the quadratic expression.
(1) = Real and different, if b² - 4ac > 0.
(2) = Rational and different, if b² - 4ac is a perfect square.
(3) = Real and equal, if b² - 4ac = 0.
(4) = If D < 0 Roots are imaginary and unequal or complex conjugate.
Answered by
60
Answer:
- -15
Step-by-step explanation:
Given
- 2x² - x +2 = 0
To find
- Value of discriminant
Solution
Discriminant = b² - 4ac
(The discriminant of a quadratic equation tells us whether there are two solutions, one solution, or no solutions)
- (-1)² - 4(2)(2)
- 1 - 16
- -15
∴ Discriminant (D) = -15
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