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Автор - alekseev2004alekseev

Разложите на множители кв. трёхчлен x^2 + 17x - 18 и 5x^2 - 13x - 6

Ответ

Автор - binamaksimchuk

Ответ:

Объяснение:

x^2 + 17x - 18 =(х+18)(х-1)

х₁+х₂= -17     х₁= -18

х₁*х₂= -18     х₂=1

5x^2 - 13x - 6=5(х+0,4)(х-3)

D = b² - 4ac = (-13)² - 4·5·(-6) = 169 + 120 = 289


x₁ =   13 - √289 /2·5  =   13 - 17/ 10  =   -4/ 10  = -0.4

x₂ =   13 + √289/ 2·5  =   13 + 17 /10  = 30 /10  = 3

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