If the roots of ax^2+bx+c=0 are infinite, then a=b=0. Doesn't this also

Jaidyn Cook

Jaidyn Cook

Answered question

2022-04-22

If the roots of
ax2+bx+c=0 are infinite, then a=b=0.
Doesn't this also make c=0?

Answer & Explanation

Felicity Carter

Felicity Carter

Beginner2022-04-23Added 16 answers

Step 1
We have, generally,
ax2+bx+c=0a+by+cy2=0
where y=1x makes sense. It is a not-entirely-unreasonable interpretation that, if the x-equation has two "infinite" roots of x=(±), then the y-equation has a double-root of y=0. Thus, the y-equation should factor as
c(y0)(y0)=0, so that a=b=0

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