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

Answer in Brief

Write the number of real roots of the equation x2 + 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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APPEARS IN

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Q 4 | Page 82
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