Mathematics · Quadratic Equations
मान लीजिए a, b, c समांतर श्रेणी (arithmetic progression) में हैं। मान लीजिए शीर्षों (a, c), (2, b) और (a, b) वाले त्रिभुज का केंद्रक (centroid) (10/3, 7/3) है। यदि α, β समीकरण ax2 + bx + 1 = 0 के मूल (roots) हैं, तो α2 + β2 - αβ का मान है:
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