Tuesday, December 24, 2013

NO CALCULATOR: if x is equal to an unknown number. The square root of y is equal to 2x. Given that z is equal to 1386 and z = 14y, what is x....

x represents an unknown number. . z=14y and z=1386. We are asked to determine x to three significant figures:


Since z=14y and z=1386 we have 14y=1386. Then .


Now .




If you know how to extract square roots without a calculator, you will find that so that


This is a reasonable approximation as 2(4.98)=9.96; 9.96^2=99.2016; and 14(99.2016=1388.8224 which is close to the expected 1386.

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