How many solutions does the system have? {y=−2x+2y=x2−3x Enter your answer in the box.
1 answer:
ANSWER
The system has two solutions.
EXPLANATION
The given equations are
and
We equate both equations to obtain;
This implies that,
where a=1, b=-1,c=-2.
We find the discriminant, D=b²-4ac of this equation to be;
Since the discriminant is greater than zero, it means the two functions intersected at two distinct points.
Hence the system has two solutions.
The system has two solutions.
EXPLANATION
The given equations are
and
We equate both equations to obtain;
This implies that,
where a=1, b=-1,c=-2.
We find the discriminant, D=b²-4ac of this equation to be;
Since the discriminant is greater than zero, it means the two functions intersected at two distinct points.
Hence the system has two solutions.
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