Question

Which physical quantity is given by the slope of position time graph

Answer 1

MATHS

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 22116, find the fraction.

Let the numerator of the fraction be x. 

Then Denominator=2x+1

Fraction =2x+1x

Reciprocal of the fraction =x2x+1

It is given that the sum fo the fraction and its reciprocal is 22116

∴2x+1x+x2x+1=22116

⇒x(2x+1)x2+(2x+1)2=2158⇒2x2+x5x2+4x+1=2158

⇒21(5x2+4x+1)=58(2x2+x)⇒105x2+84x+21=116x

⇒11x2−26x−21=0⇒11x2−33x+7x−21=0⇒11x(x−3)+7(x−3)=0

⇒(11x+7)(x−3)=0⇒x=3,−117

∵ x can not be a negative 

⇒x=3

Hence the fraction =2x+1x=73