Post #001
2024‑01‑08
Harvard Entrance Exam Example Problem
To the best of my knowledge, this is an example problem from Harvard University's entrance exam. Solve: \(w^2-w^3=12\).
Post #002
2024‑01‑08
Expressing y in Terms of x from an Exponential Equation
Solve for y in terms of x from the equation \(\frac{49^{x+4}}{7^{y-5}}\)\( = 2401\).
Post #003
2024‑01‑08
Finding the Indefinite Integral
Solve the indefinite integral \( \int \frac{3x^{4} - 4}{2x^{3}}\)\(dx\).
Post #004
2024‑01‑08
Factorize: 12x2 + 25x − 22
Question is self-explanatory.
Post #005
2024‑01‑08
Solving a Logarithmic Equation
Solve: \(\;\) \(2\log_{2}(x - 3) - \log_{2}(6-x) = 2\).
Post #006
2024‑01‑08
Solving a Linear System Using Substitution
Solve the given equations for x and y: \(5x + 3y = 10 \) and \(-x + y = -10 \).