prove that ax2 + bx + c < 0 and a < 0 if and only if b2 - 4ac < 0
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Step-by-step explanation:
listed the terms as so: ax2+bx+c≥0≥b2−4ac.
From there I tried to complete the square and ended up with this:
x≥−c/a−−−−√≥(b2/a)−4ac−c/a−−−−−−−−−−−−−−−√.
I'm not quite exactly sure how to show that if a>0, then ax2+bx+c≥0 for all values of x if and
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