find the number of real roots of equation (x^2+3)^2-x^2=0
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Answers
Answered by
2
Step-by-step explanation:
hlo mate here's your answer
Correct option is
A4
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.
Hence, A is the correct option.
i hope its help you mark as brainlist plz
Answered by
3
Answer:
4
Step-by-step explanation:
|x|1 - 3|x| + 2 = 0
let |x| be t , t > 0
to - 3t + 2 = 0
(t-2) × (t-1) = 0
Therefore , t = 2 or 1
where t = 1
|x| = 1
Therefore , x = +1 , -1
When t = 2
|x| = 2
Therefore , x= +2 , -2
So , 4 real roots...
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