Uploaded August 2026 | Updated September 2026, 2 weeks ago

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Test your math skills with these 10 expert-level quadratic questions designed to go beyond basic factoring and using the quadratic formulas. Get the file here: patreon.com/blackpenredpen/posts/10-quadratic-167816281

Proving the quadratic formula by using Euler’s formula youtu.be/9uAoZd60Bxg?is=-YThRBP16ZceEp6R

00:00 10 expert-level quadratic equation questions
00:31 Q1: Finding range of 'a' for specific real solutions
04:49 Q2: Proving the Quadratic Formula (Completing the Square)
07:44 Q3: Finding 'k' for a common root for two quadratic equations
11:15 Q4: Computing alpha^3 + beta^3 (Vieta's Theorem)
15:19 Q5: Solving a quartic equation using quadratic methods
20:21 Q6: Constructing a quadratic with reciprocal squared roots
26:01 Q7: Finding 'k' based on the difference of roots
30:09 Q8: Solving the composite equation f(f(x)) = x
37:19 Q9: Solving a reciprocal quartic equation
43:39 Q10: Finding a tangent line equation without calculus

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