Questions asked by Ahnaf R

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• How do I find the constant term from a given binomial without expanding the whole expression?
  
• There are two values of m where the line y=mx−1 is tangent to the parabola y=(x−2)^2+4. One of the possible values of m is positive, one is negative. How do I find the positive value of m?
  
• How do I evaluate `sqrt(x+10)=1/sqrt(x)+10` to find its real solution(s)?
  
• The tangent line to the graph of `y=2x^2−3x+1` at the point `P(a,b)` is parallel to the line `y=5x`. This tangent line crosses the x-axis at `(d,0)`. How do I find the value of `d`?
  
• How do I prove that `sum_(i=1)^n(x_i-mu)^2=sum_(i=1)^n(x_i)^2-nmu^2`?
  
• How do I find the mean of the data set `{x_1,x_2,....,x_25}` given that `sum_(i=1)^25x_i^2=2568.25` and the standard deviation is `5.2`?