Mathematics · Quadratic Equations
मान लीजिए a, b ∈ R, a ≠ 0 इस प्रकार हैं कि समीकरण ax2 - 2bx + 5 = 0 का एक पुनरावृत्ति मूल (repeated root) α है, जो समीकरण x2 - 2bx - 10 = 0 का भी एक मूल है। यदि β इस समीकरण का दूसरा मूल है, तो a2 + β2 बराबर है:
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