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Question
Write the number of real roots of the equation x2 + 3 |x| + 2 = 0.
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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