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Summation by Sigma Method

If x= 2 the...

Question

If $x = 2$ the find the values of 'm' for which the quadratic expression $x^{2} + 2 m x + m^{2}$ is negative.

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Solution

$x = 2$
$x^{2} + 2 m x + m^{2} (x + m)^{2} ≮ 0$
The least value of square function is $0$ it cannot be negative
So there is no such value of $m$

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