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Show that for odd positive integer to be a perfect square, it should be of the form
8k +1. Let a=2m+1
Ans: Squaring both sides we get a2 = 4m (m +1) + 1
∴ product of two consecutive numbers is always even
m(m+1)=2k
a2=4(2k)+1 a2 = 8 k + 1
Hence proved
Solve the fractional equation: Example: Solve the fractional equation 1/(x-2) +1/(x+3) =0 Solution: The LCD is (x - 2)(x + 3); therefore, multiply both sides of t
Implement an immutable data type Rational for rational numbers that supports addition, subtraction, multiplication and division. public class Rational Ration
Taking 2^x=m and solving the quadratic for getting D>=0 we get range= [3/4 , infinity )
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alpha and beta are concentric angles of two points A and B on the ellipse.
Q. How to Left shifts and right shifts a graph? Ans. When you're translating (shifting) a graph, it's easy to get subtracting and adding mixed up. It seems counter-intuiti
1. Simon's monthly take home pay (after taxes) is $2200, if he pays 19% of his gross pay(before taxex) in tax, what is his gross pay? 2 . Convert the following quantities to th
find the simple interest on Rs. 68,000 at 50/3 per annum for 9 month
3. How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries? 4. How should Shoppers’ Stop develop its demand forecasts?
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