KM101

 22 Mistake in solving an equation involving a square root 16 Why do I keep getting this incorrect solution when trying to find all the real solutions for $\sqrt{2x-3}\ +x=3$. 12 $\lim\limits_{x\to 0} \frac{\tan x - \sin x}{x^3}$? 11 Sigma notation for sum of $\ln(x)^2$ from $2$ to $20$ with steps of $0.5$ 9 Limit of $\frac{1}{7}e^{-2x^2}(1-4x^2)$ as $x\to\infty$

### Reputation (6,086)

 +10 Sigma notation for sum of $\ln(x)^2$ from $2$ to $20$ with steps of $0.5$ +10 I calculated $\sin 75^\circ$ as $\frac{1}{2\sqrt{2}}+\frac{\sqrt{3}}{2\sqrt{2}}$, but the answer is $\frac{\sqrt{2}+\sqrt{6}}{4}$. What went wrong? +10 Why is $b^2-4ac<0$ if a linear line and a curve do not meet? +10 How do I solve this equation $\sin(x) = \sin(\frac{11}{9}\pi)$?

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### Tags (113)

 133 algebra-precalculus × 69 35 logarithms × 27 82 limits × 39 26 functions × 22 73 calculus × 58 26 limits-without-lhopital × 8 70 trigonometry × 61 20 derivatives × 23 37 quadratics × 16 20 proof-verification × 6

### Accounts (2)

 Mathematics 6,086 rep 1525 Stack Overflow 101 rep 1