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ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Let `f(x) = (r-2)(r+1)x^2 + r(r-2)x-r(r-2)=0`, where `r in I, x in R.` If roots ...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4515670/81da8a3251ead7db9e43e5f71c1c4e19/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/dL9GAAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1765386347906230-10603356306901249406-balancer-l7leveler-kubr-yp-vla-206-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJea3STK8FGs","linkTemplate":"/video/preview/14534805618718784954?parent-reqid=1765386347906230-10603356306901249406-balancer-l7leveler-kubr-yp-vla-206-BAL&text=R%26R+2.O&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Let `f(x) = (r-2)(r+1) x^2 + r(r-2) x-r(r-2)=0`, where `r in I, x in R.` If roots of the equation...","related_orig_text":"R&R 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ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW The value of `sum_(r=1)^(15)(r2^r)/((r+2)!)`is`((17)!-12^6)/((17)!)`b. `((18)!-2...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4003023/1eb823e0907d90b2e8242d911f04bd1e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gDUm_QAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1765386347906230-10603356306901249406-balancer-l7leveler-kubr-yp-vla-206-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DSfBNeJOKB1Y","linkTemplate":"/video/preview/4605709370597855522?parent-reqid=1765386347906230-10603356306901249406-balancer-l7leveler-kubr-yp-vla-206-BAL&text=R%26R+2.O&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The value of `sum_(r=1)^(15)(r2^r)/((r+2)!)` is `((17)!-12^6)/((17)!)` b. `((18)!-2^(17))/((18)...","related_orig_text":"R&R 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n be a positive integer and `Delta_(r)=|{:(r^(2)+r,r+1,r-2),(2r^(2)+3r-1,3r,3r-3),(r^(2)+2r+3,2r-1,2r-1):}|` and `sum _(r=1)^(n)Delta_(r)=an^(2)+bn+c` find the value of a+b+c.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2789625/24f9758921ab1e3a0f9a36734b07b11c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/hr/yFLiAAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1765386347906230-10603356306901249406-balancer-l7leveler-kubr-yp-vla-206-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DRjcBL8xDc5g","linkTemplate":"/video/preview/912178998059047641?parent-reqid=1765386347906230-10603356306901249406-balancer-l7leveler-kubr-yp-vla-206-BAL&text=R%26R+2.O&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Let n be a positive integer and `Delta_(r)=|{:(r^(2)+r, r+1, r-2),(2r^(2)+3r-1,3r,3r-3),(r^(2)+2r+3,2","related_orig_text":"R&R 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