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Mohammad Cross
Mathematics
18 July, 16:36
Graph the system of equations:
y=-x^2+3x-1
2y-1=x
+2
Answers (
1
)
Juicy
18 July, 17:05
0
Y = - x² + 3x - 1
x = 2y - 1
x = 2 (-x² + 3x - 1) - 1
x = 2 (-x²) + 2 (3x) + 2 (-1) - 1
x = - 2x² + 6x - 2 - 1
x = - 2x² + 6x - 3
- x - x
0 = - 2x² + 5x - 3
x = - (5) + / - √ ((5) ² - 4 (-2) (-3))
2 (-2)
x = - 5 + / - √ (25 - 24)
-4
x = - 5 + / - √ (1)
-4
x = - 5 + / - 1
-4
x = - 5 + 1 or x = - 5 - 1
-4 - 4
x = - 4 x = - 6
-4 - 4
x = 1 x = 1.5
2y - 1 = x
2y - 1 = 1
+ 1 + 1
2y = 2
2 2
y = 1
(x, y) = (1, 1)
or
2y - 1 = x
2y - 1 = 1.5
+ 1 + 1
2y = 2.5
2 2
y = 1.25
(x, y) = (1.5, 1.25)
The two solutions is equal to (1, 1) and (1.5, 1.25).
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