find the sum of zeros of the polynomial -3x2+k
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10th
Maths
Quadratic Equations
Nature of Roots
If one root of 5x^{2}+13x+...
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Asked on December 20, 2019 by
Minaxi Mohammed
If one root of 5x
2
+13x+k=0 is the reciprocal of the other root, then find value of k.
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Let one root of the given that other zero is Reciprocal the one zero.
So,
Other zero=1/Alpa.
Given polynomial is 5x
2
+13x+k=0.
Here,
A=coefficient of x
2
B=coefficient of x
And,C=constant term.
Product of zeroes =C/A
Alpha ×1/Alpha =K/5
1=K/5
K=5
Then,
We get k=5.
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Find the sum of zeris of the polynomial -3x² + k
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