Quadratic EquationHard
Question
The number of real solutions of the equation |x|2 - 3|x| + 2 = 0 is
Options
A.4
B.1
C.3
D.2
Solution
Since, |x|2 - 3|x| + 2 = 0
⇒ (|x| -1)(|x| -2) = 0 ⇒ |x| = 2
∴ x = 1, -1, 2, -2Hence, four real solutions exist.
⇒ (|x| -1)(|x| -2) = 0 ⇒ |x| = 2
∴ x = 1, -1, 2, -2Hence, four real solutions exist.
Create a free account to view solution
View Solution FreeMore Quadratic Equation Questions
If α and β are roots of ax2 − bx + c = 0, then (α + 1) (β + 1) is equal to -...Number of solutions of equation (a + x)2/3 + (x − a)2/3 = 4 (a2 − x2)1/3 are -...If α, β are roots of the equation px2 + qx − r = 0, then the value of is equal to -...The number of solutions of log4 (x - 1) = log2 (x - 3) is...If α and β are the root of ax2 + bx + c = 0, then the value of is -...