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 Apr21 comment Prove this inequality $25ab+25a+10b\le38$ +1 for making it simple! Apr21 comment Prove this inequality $25ab+25a+10b\le38$ Hint: Put $b=\sqrt{1-a^2}$. And substitute $b$ in given expression. Afterwards obtain an equation $f(a)$, and find maxima and minima by using derivative tests. Apr21 comment Approximation of an expression (no calculator please!) Seriously, one needs great persistence to attempt this one with the first method, I even tried it but dropped it in the mid-way thinking that this would take took long. Anyway thanks! Apr21 revised Approximation of an expression (no calculator please!) added 2 characters in body Apr21 comment Approximation of an expression (no calculator please!) @RossMillikan I guess from the phrase "just equal to" they meant that we will be needing a minor approximation. Although answer approximation isn't that much minor. You can freely blame the question. Apr21 comment Approximation of an expression (no calculator please!) @Paul Thanks! I didn't know that. Apr21 asked Approximation of an expression (no calculator please!) Apr16 revised Quotient group(Factor group) mathjax added; Apr16 suggested approved edit on Quotient group(Factor group) Apr15 revised Why non-real means only the square root of negative? mathjax added; Apr15 suggested approved edit on Why non-real means only the square root of negative? Apr15 awarded Benefactor Apr15 accepted Why non-real means only the square root of negative? Apr14 accepted Find remainder when $2^{30}\cdot 3^{20}$ is divided by $7$ without using calculator Apr14 revised Find remainder when $2^{30}\cdot 3^{20}$ is divided by $7$ without using calculator mathjax added; Apr14 suggested approved edit on Find remainder when $2^{30}\cdot 3^{20}$ is divided by $7$ without using calculator Apr13 awarded Promoter Apr9 revised Analysis of how-many-squares and rectangles are are there on a chess board? mathjax added; Apr9 suggested approved edit on Analysis of how-many-squares and rectangles are are there on a chess board? Apr5 revised General solution of $y''+y'=0$ mathjax fixed;