SOLUTION: Solve the system of equations y=-x^2+3x-6 y=1/2x+1

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Question 1078113: Solve the system of equations
y=-x^2+3x-6
y=1/2x+1
Found 3 solutions by ikleyn, Alan3354, Boreal:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Since the left sides of the equations are identical, their right sides are equal:

-x^2 + 3x - 6 = 1/2x + 1.


Simplify and solve this quadratic equation.


After solving, restore y.


Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve the system of equations
y=-x^2+3x-6
y=1/2x+1
-------
Since they both equal y:
-x^2+3x-6 = 1/2x+1
---
Solve for x, then solve for y.
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
(x/2)+1=-x^2+3x-6
x^2-(5/2)x+7=0
2x^2-5x+14=0
x=(1/4)(5+/- sqrt (25-112))
=(1/4)(-5+/- i sqrt(87)
No real solutions.
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