User TheProver - Mathematics Stack Exchange

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algebra-precalculus

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Why does the leading coefficient of a quadratic trinomial resemble some sort of a slope?

Nov 3, 2025

Is there a simple geometric interpretation of the identity $a(1 - b^{2}) + b(1 - a^{2}) = (a + b)(1 - ab)$?

Dec 18, 2025

How to construct the following isosceles trapezoid with compass and a straightedge?

Apr 22

How to prove that four points are concyclic under these given conditions?

yesterday

Is there an easy way to solve the system $\frac{x}{y} - \frac{x}{85} = \frac{1}{2}$ and $\frac{174-x}{y} = \frac{x}{85}$?

Apr 5

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Does $\frac{a \times \frac{b}{2} \times c}{d}$ simplify to $\frac{abc}{2d}$, or to $\frac{abcd}{2}$?

Apr 6

How do I prove the external case of Ceva's Theorem using Menelaus' Theorem?

Jan 4

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How to prove that four points are concyclic under these given conditions?

+58

How to construct the following isosceles trapezoid with compass and a straightedge?

+10

Does $\frac{a \times \frac{b}{2} \times c}{d}$ simplify to $\frac{abc}{2d}$, or to $\frac{abcd}{2}$?

+10

Is there an easy way to solve the system $\frac{x}{y} - \frac{x}{85} = \frac{1}{2}$ and $\frac{174-x}{y} = \frac{x}{85}$?

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