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KonstantinChe [14]
3 years ago
12

Consider the quadratic equations

Mathematics
2 answers:
Debora [2.8K]3 years ago
6 0
Consider the two functions as
<span>y1(x) =3x^2 - 5x, 
y2(x) = 2x^2 - x - c

The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b) 
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c) 
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.

It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.


</span>
laila [671]3 years ago
3 0
Can you please make this more clear
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<h3>What are system of inequalities?</h3>

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As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).

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Learn more about graphing inequalities here:

brainly.com/question/19598687

#SPJ1

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