If you double 18, then double again, and again… how often will you get a square number?
Answer You are essentially getting the number X which is of the form below : X = 2^a…
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Algebra: Solve an equation
Question Solve for x. (x-2)^2 = (√x) + 2 Answer (x-2)^2 = (√x) + 2 x^2 – 4x…
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A Remainder Problem: “How to find the remainder of 3^7 divided by 7 using modulo arithmetic?”
Answer Here is a short way. Fermat’s little theorem says that if p is a prime and b…
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Basic Factorization
Question Factor each expression. a^2(b-c)-16b^2(b-c) Answer a^2(b-c)-16b^2(b-c) = (b -c) [ a^2-16b^2 ] =(b -c) [ a^2-(4b)^2…
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Another Financial Mathematics Question
Question John saved $600 and Carla saved $550 into a savings account. John found an account that would…
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Set Theory: Show that P(A U B) = P(A) + P(Ac ∩ B)?
Answer P(A U B) = P(A) + P(Ac ∩ B)? Here is a simple but understandable approach. The…
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How do u factor (x^3)-8?
Answer There is a “formula”. a^3 – b^3 = ( a – b ) ( a^2 + ab…
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A Number Theory Question: “If abcd x 4 = dcba what are the values of a b c and d?”
Answer Let us reason out completely and not just “guess” at an answer. We use base 10. abcd…
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Counting Problem: “How many dots in the n-th rectangle?”
Question •• 1st rectangle ••• ••• 2nd rectangle •••• •••• •••• 3rd rectangle ••••• ••••• ••••• ••••• 4th…
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Solve for x and y which are both real numbers? Given that 4x+3y(i-1)-12(1-i)=9-2x(1+i)+(1-2y)i
Answer 4x+3y(i-1)-12(1-i)=9-2x(1+i)+(1-2y)i Separate the ‘real’ and ‘complex’ part as follows: (4x – 3y -12) + (3y + 12)i…