# Write the Number of Real Roots of the Equation X2 + 3 |X| + 2 = 0. - Mathematics

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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#### APPEARS IN

RD Sharma Class 10 Maths