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Ответ:Объяснение:

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trifonovroma307 @trifonovroma307

June 2022 1 20 Report

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Ответ:

$A)\ x_1 = -2,\ x_2 =\dfrac{1}{5};\\B)\ x_{1/2} = б2;\\C)\ x = 3.$

Объяснение:

$A)\ -5x^2-9x+2 = 0\ (*(-1))\\5x^2+9x-2 = 0\\\boxed{D = b^2 -4ac}\\D = 9^2 - 4 * 5 *(-2) = 81 + 40 = 121\\\\\boxed{x_{1/2} = \dfrac{-bб\sqrt{D} }{2a}}\\\\x_{1/2} = \dfrac{-9б11}{10}\\\\x_1 = \dfrac{-9-11}{10} = -\dfrac{20}{10} = -2;\\\\x_2 = \dfrac{-9+11}{10} = \dfrac{2}{10} = \dfrac{1}{5}.$

$B)\ x^4+5x^2-36=0\\(x^2)^2 + 5x^2-36 = 0\\\boxed{x^2 = y}\\y^2 + 5y - 36 = 0\\\boxed{D = b^2-4ac}\\D = 5^2 - 4*1*(-36) = 25 + 144 = 169\\\\\boxed{y_{1/2} = \dfrac{-bб\sqrt{D} }{2a}}\\\\y_{1/2} = \dfrac{-5б13}{2}\\\\y_1 = \dfrac{-5-13}{2} = -\dfrac{18}{2} = -9;\\\\y_2 = \dfrac{-5+13}{2} = \dfrac{8}{2} = 4.\\Zamena:\\x^2 = -9\\x \in \varnothing\\\\x^2 = 4\\x = б\sqrt{4}\\x_{1/2} = б2$

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