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#?