y + x = 6
x² + 2y = 60 ;
y = 6 - x
x² + 2(6-x) = 60 ;
1) x² + 12 - 2x = 60
x² - 2x + 12 - 60 = 0
x² - 2x - 48 = 0
x1 + x2 = 2
x1 × x2 = -48
x1 = 8 ; x2 = -6
2) y = 6 - x
y1 = 6 - 8
y2 = 6 + 6
y1 = -2 ; y2 = 12
|8×(-2) - (-6×12)| = |-16+72| = |56| = 56
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Answers & Comments
y + x = 6
x² + 2y = 60 ;
y = 6 - x
x² + 2(6-x) = 60 ;
1) x² + 12 - 2x = 60
x² - 2x + 12 - 60 = 0
x² - 2x - 48 = 0
x1 + x2 = 2
x1 × x2 = -48
x1 = 8 ; x2 = -6
2) y = 6 - x
y1 = 6 - 8
y2 = 6 + 6
y1 = -2 ; y2 = 12
|8×(-2) - (-6×12)| = |-16+72| = |56| = 56