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mishan1
@mishan1
July 2022
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решить квадратное уравнение через дискриминант
1) 36x2+6х-12=0
2) 18х2+7х-36=0
(х2 значит х в квадрате)
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krugly1981
1) 36x² + 6x - 12 =0
D = b² - 4ac = 6² - 4 × 36 × ( - 12) = 36 + 1728 = 1764 = 42²
x₁ = - 6 + 42 / 2 × 36 = 0,5 = 1/2
x₂ =- 6 - 42 / 72 = -48 / 72 = - 0,66667 = - 2/3
Ответ: x₁ = 1/2, x₂ = - 2/3
2) 18x² + 7x - 36 = 0
D = b² - 4ac = 7² - 4 × 18 × ( - 36) = 49 + 2592 = 2641
x₁ = - 7 + √2641 / 36
x₂ = - 7 - √2641 / 36
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Answers & Comments
D = b² - 4ac = 6² - 4 × 36 × ( - 12) = 36 + 1728 = 1764 = 42²
x₁ = - 6 + 42 / 2 × 36 = 0,5 = 1/2
x₂ =- 6 - 42 / 72 = -48 / 72 = - 0,66667 = - 2/3
Ответ: x₁ = 1/2, x₂ = - 2/3
2) 18x² + 7x - 36 = 0
D = b² - 4ac = 7² - 4 × 18 × ( - 36) = 49 + 2592 = 2641
x₁ = - 7 + √2641 / 36
x₂ = - 7 - √2641 / 36