Question
Find the zeros of the following quadratic polynomial and verify the relation ship between the zeros and the coefficients : .
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Text solutionVerified
Let
=
=
to find the zeroes, Let
or
or
So the zeroes of are and
Again
Sum of zeroes =\dfrac {-1} {\sqrt {2}} + \dfrac 1 {\sqrt{2}} =\dfrac {(-1 +1)} {\sqrt {2}} = 0
=\dfrac {-b}a
=\dfrac {(-coefficient \ of \ x)} {( coefficient \ of \ x^2 )}
Product of zeroes =\dfrac {-1} {\sqrt {2}} \times \dfrac {1} {\sqrt 2} =\dfrac {-1} 2 =\dfrac {-4}8
=\dfrac ca
=\dfrac {Constant \ term} {coefficient \ of \ x^2 }
=
=
to find the zeroes, Let
or
or
So the zeroes of are and
Again
Sum of zeroes =
=\dfrac {-b}a
=\dfrac {(-coefficient \ of \ x)} {( coefficient \ of \ x^2 )}
Product of zeroes =
=\dfrac ca
=\dfrac {Constant \ term} {coefficient \ of \ x^2 }
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Question Text | Find the zeros of the following quadratic polynomial and verify the relation ship between the zeros and the coefficients : . |
Answer Type | Text solution:1 |
Upvotes | 150 |