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bigemma03
05.05.2020 •
Mathematics
Solve the system y = -x + 7 and y = 0.5(x - 3)^2
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Ответ:
x=-1, y=8
or
x=5, y=2
Step-by-step explanation:
if you rewrite the first as x = 7-y (bring x to the left, y to the right) you can substitute it in the second:
y = 0.5(7-y-3)²
then work out the quadratic factor:
y = 0.5(4² -8y + y²)
2y = y² - 8y + 16
y² - 10y + 16 = 0
(y-8)(y-2) = 0
y=8 or y=2
using x = 7-y you can match the x with that:
y=8 => x = 7-8 = -1
y=2 => x = 7-2 = 5
Ответ: