The equation $x^{2} + 6 | x | + 11 = 0$ can have how many REAL roots?___

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Solution

We should observe that all the three terms of the equation are positive.
Hence, sum of these three terms cannot be 0 for any real value. This can be understood by
assuming any value of ‘x’ such that x<0 and x=0.
Hence, no real value of ‘x’ can be obtained.

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