How many real solutions does the system have? y=−3x−1y=x2−3x+4?

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asked Jul 18, 2018 13.0k views

1 Answer

Daniel Arndt · Answer 1 · 2018-07-23T23:06:48+0000

Set the equations to equal each other:
x²-3x+4=-3x-1
x²-3x+3x+4=-3x+3x-1
x²+4=-1
x²+4-4=-1-4
x²=-5
√x²=√-5
x=-√5i and x=√5i

There are no real solutions.

How many real solutions does the system have? y=−3x−1y=x2−3x+4?

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