Find the nature of the roots of the quadratic equation 3x2
- √7x +1=0
Answers
Answered by
6
EXPLANATION.
Quadratic equation.
⇒ 3x² - √7x + 1 = 0.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ D = (-√7)² - 4(3)(1).
⇒ D = 7 - 12.
⇒ D = -5.
Nature of roots are imaginary : D < 0.
MORE INFORMATION.
Conjugate roots.
(1) = If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) = If D > 0.
One roots = α + √β.
Other roots = α - √β.
Answered by
1
Step-by-step explanation:
EXPLANATION.
Quadratic equation.
⇒ 3x² - √7x + 1 = 0.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ D = (-√7)² - 4(3)(1).
⇒ D = 7 - 12.
⇒ D = -5.
Nature of roots are imaginary : D < 0.
MORE INFORMATION.
Conjugate roots.
(1) = If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) = If D > 0.
One roots = α + √β.
Other roots = α - √β.
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