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TIFR2010-Maths-A-12
makhdoom ghaya
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Quantitative Aptitude
Oct 11, 2015
edited
Aug 18, 2020
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soujanyareddy13
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The sum of the roots of the equation $x^{5}+3x^{2}+7=0$ is.
$-3$
$\frac{3}{7}$
$\frac{-1}{7}$
$0$
tifrmaths2010
makhdoom ghaya
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Oct 11, 2015
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soujanyareddy13
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Here in this question sum of roots $=$ coefficient of $x^4$. So, sum $=0$.
In general, sum is $-1 \times$ coefficient of $x^{\text{degree }-1}$ in polynomial.
Pooja Palod
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Oct 12, 2015
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Pooja Palod
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http://www.mathwarehouse.com/quadratic/roots/formula-sum-product-of-roots.php
simple formula is -b/a= -0/1=0
Prashant.
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Apr 11, 2016
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Prashant.
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