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yagodka00
@yagodka00
March 2022
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помогите пожалуйста с уравнением
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Verified answer
3^(x^2 – 5x + 8) = 9
3^(x^2 – 5x + 8) = 3^2
x^2 – 5x + 8 = 2
x^2 – 5x + 8 – 2 = 0
x^2 – 5x + 6 =0
по теореме Виета имеем
x1 + x2 = – p x1 + x2 = 5 x1 = 3
x1 * x2 = q x1 * x2 = 6 x2 = 2
Ответ: х1 = 3, х2 = 2
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Answers & Comments
Verified answer
3^(x^2 – 5x + 8) = 93^(x^2 – 5x + 8) = 3^2
x^2 – 5x + 8 = 2
x^2 – 5x + 8 – 2 = 0
x^2 – 5x + 6 =0
по теореме Виета имеем
x1 + x2 = – p x1 + x2 = 5 x1 = 3
x1 * x2 = q x1 * x2 = 6 x2 = 2
Ответ: х1 = 3, х2 = 2