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Please tell how to slove ques. 72 please tell me the method used to solve it

Please tell how to slove ques. 72 please tell me the method used to solve it

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Grade:11

1 Answers

Shubham Kaushal
24 Points
7 years ago
Let {x} is fraction part of x. Then [x]=x-{x} and (x)=x+1-{x}. Now substitute these in equation.(x)^2=[x]^2+2x(x+1-{x})^2=(x-{x})^2+2xNow(x+1-{x})^2-(x-{x})^2=2x,Now apply identity a^2-b^2=(a+b)×(a-b).2x+1-2{x}=2x,{x}=1/2

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