if alpha and beta are the zeros ax^2+bx+c then evaluate (i)alpha^2-Beta^2 and (ii)(alpha-beta)^2
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✰ᴀɴsᴡᴇʀ✰
If alpha and beta are the roots of a quadratic equations ax² + bx + c = 0 then,
alpha + beta = -b/a
alpha × beta = c/a
alpha² + beta² = (alpha + beta²) - 2alpha × beta
= b²/a² - 2c/a
= b² - 2ac/a²
⋆⋆✿ᴍɪss_ɪɴɴᴏᴄᴇɴᴛ✿⋆⋆
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