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Number-of-solution-of-equation-2-x-3x-7-x-is-where-Greatest-Integer-Function-amp-fractional-function-

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Question Number 16087 by Tinkutara last updated on 17/Jun/17
Number of solution of equation 2[−x] + 3x = 7{x} is? (where [∙] = Greatest Integer Function & {∙} fractional function.)
Numberofsolutionofequation2[−x]+3x=7{x}is?(where[⋅]=GreatestIntegerFunction&{⋅}fractionalfunction.)
Commented by prakash jain last updated on 17/Jun/17
x=[x]+{x} 2[−x]+3[x]+3{x}=7{x} 4{x}=2[−x]+3[x] RHS integer {x}=0 {x}=0⇒x=n 2[−n]+3[n]=0 ⇒n=0 x=0
x=[x]+{x}2[−x]+3[x]+3{x}=7{x}4{x}=2[−x]+3[x]RHSinteger{x}=0{x}=0⇒x=n2[−n]+3[n]=0⇒n=0x=0

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