Binomial Theorem
Question
If the first 3 terms of the expansion of
are 
, find the value of x and n
Solution
Recall the binomial expansion formula
Next we need to simplify
Going back to the question,
We can then form 2 equations involving n and x
Equation 1
Equation 2
If the first 3 terms of the expansion of
are , find the value of x and nSolution
Recall the binomial expansion formula
Next we need to simplify
Going back to the question,
We can then form 2 equations involving n and x
Equation 1
Equation 2
Alternatively, from Eqn (2):
ReplyDelete(nx)^2 - nx * x = 120.
Also, from Eqn (1),
nx = -12, (nx)^2 = 144,
144 - (-12)x = 120
12x = -24
x = -2
This method will avoid denominator..
One just has to be good at the basic mathematical operations, like multiplication, addition and subtraction to understand Vedic maths. Believe us, Vedic maths is this easy.
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