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How do I complete the square

Take a look at the expression below: x 2 + 4x + 3 To complete the square you have to focus on the number before the x or the (x coefficient). In this case, this number is 4. To complete the square you take t...
AM
Answered by Anant M. • Maths tutor
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Statistics: What is the difference between a Binomial and Poisson distribution?

Binomial: A single trial has only 2 possible outcomes: success or failure A fixed number of trials, n Trials are independent The probability of success remains constant at each trial Mean: E(x) = np Var(x) =...
SS
Answered by Shivani S. • Maths tutor
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Integrate (cosx)^3

In order to integrate (cosx)^3, there is no given rule (by-parts, 'try' method, chain rule) which we can follow. We would need to split it into (cosx)^2 and cosx. Then use the identity: (sinx)^2 + (cosx)^2 =...
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Answered by Shivani S. • Maths tutor
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How many solutions are there of the equation a+b+c=12, where a,b,c are non-negative integers?

We can think of any solution of this equation as a string of twelve 1's and two 0's. For example, one such solution could be a=6, b=2 and c=4. In this case we would write the solution as 11111101101111. Writ...
BM
Answered by Brendan M. • Maths tutor
7330 Views

ln(2x^2 +9x-5) =1+ ln( x^2+2x-15)

Moving Ln to one side ln(2x^2 +9x-5) - ln( x^2+2x-15) =1 Subtracting Ln is the same as dividing ln(((2x^2 +9x-5)/( x^2+2x-15)) ln((2x-1)/(x-3))=1 Taking e to both sides (2x-1)/(x-3)=e x=(1-3e)/(2-e)
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Answered by Raj H. • Maths tutor
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