Trying to analyze degenerate case of quadratic equation

Izabelle Walsh

Izabelle Walsh

Answered question

2022-04-10

Trying to analyze degenerate case of quadratic equation
ax2+bx+c=0 when a=0, b=0, c0

Answer & Explanation

cab65699m

cab65699m

Beginner2022-04-11Added 14 answers

Consider two curves y=ax+b and y=cx in Cartesian plane.
Now as a,b tends to zero, first curve (line) approaches to x-axis. On the other hand the (rectangular) hyperbola meets the x-axis at point at infinity. If you know little bit of protective geometry this would be much clear.
vadomosigmx6

vadomosigmx6

Beginner2022-04-12Added 12 answers

Step 1
Set x=1y to find
0=a+by+cy2
What if a=0?
What if b=0?
Step 2
Now if a=b=0,c0,y2=0
Another point check where do the following two lines meet?
ax+by+c=0
ax+by+d=0

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