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Mathematics
Sandra Lara
23 October, 14:40
Solve system of equation y=x^2+3x+1, y=-x-3
+2
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Paloma Berger
23 October, 16:06
0
x = - 2
y = - 1
Step-by-step explanation:
y = x² + 3x + 1 y = - x - 3
Set the equations equal to each other:
x² + 3x + 1 = - x - 3
Move all terms to one side:
x² + 3x + x + 1 + 3 = 0
x² + 4x + 4 = 0
factor:
(x + 2) ² = 0
take square root of both sidesL
x + 2 = 0
subtract 2 from both sides:
x = - 2
Plug - 2 in for x in either of the equations:
(-1) ²+3 (-1) + 1 = y
y = - 1
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