Question

решить систему уравнений x^2-y^2=24 2y-x=-7

Answer 1

2Y - X = - 7

X = 2Y + 7

X^2 = (2Y+7)^2 = 4Y^2 + 28Y + 49

 

 .............................

 X^2 - Y^2 = 24

4Y^2 + 28Y + 49 - Y^2 = 24

3Y^2 + 28Y + 25 = 0

 

D = 784 - 12*25 = 784 - 300 = 484

V D = 22

Y1 = - 28 + 22 6 = - 66 = - 1

Y2 = - 506 = - 253 = - 8 13 

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X = 2y + 7

X1 = - 2 + 7 = 5

X2 = - 503 + 213 = - 293 = - 9 23