Answer in Brief

Write the number of real roots of the equation x^{2} + 3 |x| + 2 = 0.

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#### Solution

The given quadric equation is `x^2 + 3 |x| + 2 = 0`

`x^2 + 3 |x| + 2 = 0`

Here, a =1,b = ±3 and, c = 2

As we know that `D = b^2 - 4ac`

Putting the value of a =1,b = ±3 and, c = 2

` = (±3)^2 - 4 xx 1 xx 2`

= 9 -8

= 1

Since, D≥ 0

Therefore, roots of the given equation are real and distinct .

∴The number of real roots of the given equation is 4.

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