number of real roots of equation( x^2 +3x +2)^2 - 8(x^2 + 3x ) = 4
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Step-by-step explanation:
refer Given equation:
x
2
−3∣x∣+2=0
When x>0, we have
x
2
−3x+2=0
⇒(x−2)(x−1)=0
⇒x=2 or x=1
and when x<0,
x
2
+3x+2=0
or, (x+2)(x+1)=0
or, x=−2 or x=−1
Therefore, number of real roots is 4.
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