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Mathematics Made Easy: Solving Quadratic Equations

This guide simplifies solving quadratic equations using the formula AX^2 + BX + C = 0. Learn how to determine roots, factors, and discriminants. Master solving various types of quadratic equations quickly and efficiently.

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Mathematics Made Easy: Solving Quadratic Equations

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    1. ???????? ? ???????

    2. ????? ???????? ?? ??????????? ?? ????? ????? ???? ?? ?? ????? ???? ? ?? ?????? ???? ???? ????? ??????? ????? ????? ? ??? ????? ?????? ?? ?? ?????“ ???? ??? ???? ?? ???????? ?????.

    3. ????? ????? ???????? ????? ?? ???? ????: ?? ??? ?? ???????? ?????“ ?? ???? ??????? ???? ??? ??????? ??? ???? ????. ????? ?? ?????? ???? ? ?? ??? ?? ?? ??? ????? ???????? ?????? ???????? ??? ?????? ? ???? ?????? ?? ???? ? ??? ???? ?????. ????? ?? ????? ?????? ?? ??? ?? ????? ????? ???????? ??? ?? ??? ? ?? ????? ???? ? ?? ?? ???? ??? ????. ????? ?? ??? ?????? ????? ???? ???? ???????? ?? ???? ? ??? ??? ???????? ???? ?? ????? ?????? ? ??? ????? ?? ????? ???? ??? ????? ?????.

    4. ????? ???? ???????? ???? ???? ?? ???????? ??? ? ?????? ???? ????? ???? ???? ????: 1- ????? ???? ?????: ???? ????? ?? ????? ? ????? ???? ?? ???????? ?????? ?? ??? ?? ???? ?????? ????. 2- ????? ????? ????(?????????) ???? ???? 3- ????? ????? ? ????? ????? : (???? ?? ? ???????) 4- ????? ??? ?? ??? ????? ????? 5- ?????? ?? ??? ?? ????? 6- ????? ?????

    5. ??????? ???? ?????? ???????? ????? ????? ??? ?? ????? ????? ???? ???? ?? ????. ????? ????? ??? ???? ???? ?? ?? ??? ?? ?????.

    7. ????1 : ???????? ??? ???? ?? ?? ??? ?? ?????? ? ??????? ???? ?? ????? ???.

    8. ????2: ???????? ??? ???? ?? ???? ?? ????? ?? ??????? ????? ? ???? ???? ????? ???.

    9. ????3: ???????? ??? ???? ?? ?? ??? ?? ?????? ? ????? ??? ????? ???? ?????: - ??? ??? ??? ??? ??? ???? ??? ?? ??? ???? - ??? ??? ??? ???? ??? ????? ?? ??? ???? - ??? ??? ??? ???? ??? ???? ??? ?? ??? ???? ?? ????? ???.

    10. ????? ???? 3

    11. ???? 4: ??????? ?????? ?? ?? ??? ???? ?? ?? ??? ?? ?????? ??? ?????? ?? ?? ?? ?? ?? ????? ?????. ??? ??? : ??????? ?? ????? ???? ??? ???: ??????? ?? ?????? ?????

    12. ???? 5: ???????? ??? ???? ?? ?? ??? ?? ???? ?? ??????? ????? ??? ?? ??? ???? ???? ??????? ??? ?? ????

    13. ???? 6: ???? ??? ?? ?????? ???? ??? AX²+BX+C=0 D=B²-4AC ??? D<0 ? ?????? ???? ????? ??? D=0 ? ???? ????? –B/2A ?? ?? X1? X2 ???? ??? ???? ????? ?? ?? X1 ???? ??? ???? ????? ?? ?? X2 ???? ??? ?????? X1 ? X2 ?? ????? ???

    15. ???????? ??? ????? ????? ???: ?????? ?? ???????? ?? ????? ??? ????? ???? ????? ?? ???? ????? ?? ???? (LOOP) ?? ?? ????. ???? ????? ?? ???? ?? ?? ????? ???? ??????? ?? ????? ??? ????? ?? ??? ?? ???? ???? ?? ?? ????? ????? ????? ?? ????? ? ??? ??????“ ?? ?????? ???? ? ??? ?? ?????? ?? ?????? ???? ?????? ?? ?? ?? ????? ???? ? ??? ?? ????? ??? ?? ????? ??? ??? ?? ??????. ????? ???: ?????? ?? ??? ?? ???? ???? ?? ????? ???? ???? ?? ??? ?? ????? ????? ?? ??? ????? ?????. ????? ???: ?????? ?? ?? ?? ????? ????? ????? ???? ?? ????? ???? ????? ?? ??? ?? ????? ????? ????? ?? ?????.

    16. ???? 7: ???????? ??? ???? ?? ?? ??? ?????? ?? ??? ?? ?????? ??? ?? ????? ?? ???, ????? ????? ?? ?????? ????? ? ??????? ???? ?? ????? ???. N ??? ?????? ??? C??????? S????? A?????

    17. ???? 8: ???????? ?????? ?? ?? ??????? ?? 10 ??? ?? ????? ? ????? ??? ???? ??? ? ???? ??? ???.

    18. ???? 9: ???????? ?????? ?? ?? ??????? ?? ?? ??? ???? ?? ?????? ? ????? ????? ??? ?? ???? ???.

    19. ???? 10: ???????? ?????? ?? ?? ??????? ?? ??? ????? N>1 ?? ?????? ? ????? ???? ??? ?? ?? ????? ???

    20. ???? 11: ???????? ?????? ?? ?? ??????? ?? ?? ??? ?? ?????? ? ??? ???? ?? ?? ????? ??????

    21. ???? 12: ???????? ?????? ?? ?? ??????? ?? ?? ??? ???? ?? ?????? ???????? ?? ?? ????? ???. ???????? ?? ??? ???? ???? ??? ????? 1 ?? ?? ??? ???????? ??? ??? ????? ?? ?? ????.

    22. ????? ???? 12 A???????

    23. ???? 13: ?????? ?? ??????? ?? ??? N ?? ??????? ? ????? ????? ?? ?? ???? ???. ????: 3+2+1 123

    24. ???? 14: ???????? ?????? ?? ?? ??????? ?? ?? ??? ?? ????? ????? ??? ?? ??? ???? ??? ?? ???? ???? ???? ??? ?? ?? ????? ????? ???? ??? ?????? ?? ???? ????? ????.

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