First slide

Theory of equations

Question

To remove the 2nd term of the equation $x^{4} - 10 x^{3} + 35 x^{2} - 50 x + 24 = 0$ , diminish the roots by

Easy

A

$\frac{2}{5}$
B

$- \frac{2}{5}$
C

$\frac{5}{2}$
D

$- \frac{5}{2}$

Solution

$h = \frac{- a_{1}}{n a_{0}} = \frac{10}{4 (1)} = \frac{5}{2}$

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