Nature of Roots of Quadratic Polynomial
Nature of Roots of Quadratic Polynomial
Nature of Roots of Quadratic Polynomial:
The Value of Discriminant decides the nature of roots of a quadratic Polynomial.
Case 1: If , then the roots are real and equal
Case 2: If , then the roots are real and unequal.
Case 3: If , then the roots are imaginary
Example: Without solving the equation identify the nature of roots
Solution: Comparing the equation with the standard form
a = 2, b = 5 and c = 5, Then
As the discriminant is less than zero so the roots are imaginary
Example: Find the value of k for which the equation has real and equal roots
Solution: Comparing the equation with the standard form
a = 1, b = -2(1+3k) and c = 7(3+2k), Then
As the roots are real and equal, so D = 0
For what value of 'k', the equation | |||
| Right Option : A | |||
| View Explanation | |||
if the roots of the quadratic equations | |||
| Right Option : A | |||
| View Explanation | |||
Find the nature of the roots of | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
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8thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
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Yatharthi Sharma
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Aman Kumar Shrivastava
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10thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
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Om Umang
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