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13 Mar 2020, 01:57
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A
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Difficulty:
25%
(medium)
Question Stats:
74% (01:07) correct
26%
(01:08)
wrong
based on 681
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The number of solutions of the equation \(x^2 − 3|x| + 2 = 0\) is
A. 4
B. 3
C. 2
D. 1
E. 0
Are You Up For the Challenge: 700 Level Questions
A. 4
B. 3
C. 2
D. 1
E. 0
Are You Up For the Challenge: 700 Level Questions
13 Mar 2020, 02:45
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The number of solutions of the equation \(x^{2}−3|x|+2=0.\)
Case1: \(x ≥0\):
--> \(x^{2}−3x+2= (x-1)(x-2)=0 \)
\(x=1\) and \(x=2\) (Two solutions)
Case2: \(x <0\):
--> \(x^{2}+3x+2= (x +1)(x +2)=0 \)
\(x= -1\) and \(x= -2\) (Two solutions)
In total, there are \(4\) solutions.
Answer (A).
Case1: \(x ≥0\):
--> \(x^{2}−3x+2= (x-1)(x-2)=0 \)
\(x=1\) and \(x=2\) (Two solutions)
Case2: \(x <0\):
--> \(x^{2}+3x+2= (x +1)(x +2)=0 \)
\(x= -1\) and \(x= -2\) (Two solutions)
In total, there are \(4\) solutions.
Answer (A).
13 Mar 2020, 03:27
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x^2+2=3|x|
There are 4 intersecting points between y=x^2+2 and y= 3|x| (it can be seen in the graph below)
A
There are 4 intersecting points between y=x^2+2 and y= 3|x| (it can be seen in the graph below)
A
Bunuel
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