Question

5. The number of real roots of the equation x² +3|x|+2 = 0 is​

Answer 1

Quadratic Equations

Solutions of Quadratic Equations

The number of real roots of...

MATHS

The number of real roots of the equation x2−3∣x∣+2=0 is

A .

4

B .

3

C .

2

D .

1

December 26, 2019Tajkera Anki

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ANSWER

Given equation:

x2−3∣x∣+2=0

When x>0, we have

x2−3x+2=0

⇒(x−2)(x−1)=0

⇒x=2 or x=1

and when x<0,

x2+3x+2=0

or, (x+2)(x+1)=0

or, x=−2 or x=−1

Therefore, number of real roots is 4.

Hence, A is the correct option.