3у+х=5; 6ху+8у²=-24-х...

настя6054 @настя6054

July 2022 1 3 Report

3у+х=5; 6ху+8у²=-24-х

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Удачник66

Verified answer

X = 5 - 3y
Подставляем во 2 уравнение
6y(5 - 3y) + 8y^2 = -24 - (5 - 3y)
30y - 18y^2 + 8y^2 = -24 - 5 + 3y
0 = -29 + 3y - 30y + 10y^2
10y^2 - 27y - 29 = 0
D = 27^2 - 4*10(-29) = 729 + 1160 = 1889
y1 = (27 - √1889)/20; x1 = 5 - 3y = 5 - (81 - 3√1889)/20 = (19 + 3√1889)/20
y2 = (27 + √1889)/20; x2 = 5 - 3y = 5 - (81 + 3√1889)/20 = (19 - 3√1889)/20

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