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Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationInequationMedium2 minQB

MathematicsMediumsingle choice

The number of solutions of $∣ [x] - 2 x ∣ = 4$ where $[x]$ is the greatest integer

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Answer:

Solution:

If $x = n \in Z, ∣ n - 2 n ∣ = 4 \Rightarrow n = \pm 4$ If $x = n + K$ where $0 < K < 1$ then $∣ n - 2 (n + k) ∣ = 4$ , it is possible if $K = \frac{1}{2}$

$\Rightarrow ∣ - n - 1∣ = 4$

$∴ n = 3, - 5$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Inequation

⏱ 2mℹ️ Source: QB

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