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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
Example of Probability: Example: By using a die, what is the probability of rolling two 3s in a row? Solution: From the previous example, there is a 1/6 chance of
Substitution Rule Mostly integrals are fairly simple and most of the substitutions are quite simple. The problems arise in correctly getting the integral set up for the substi
what all can be the table contents for my maths project on shares and dividend
In a triangle ABC, D &E is a are points on AB & AC ,if the one side of a triangle is 4cm & another side is 5 cm find that the ar(triangleABC):ar(BCDE)
simplify the expression 3/5/64
I want to send to you a file for my question.How. Could you please send my a link for that.
2^(x) + 2^(x+3)=36
Differentiation Formulas : We will begin this section with some basic properties and formulas. We will give the properties & formulas in this section in both "prime" notation &
Which of the subsequent terms does NOT describe the number 9? Nine is NOT prime since it has 3 factors; 1, 3, and 9. Prime numbers have only 2 factors.
4562388/955
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