Question

Of which type of equation are there the greatest number: Equations with no solutions, equations with infinitely many solutions, or equations with exactly one solution? Explain your reasoning.

Answer 1

suppose let there be an eqn of the form \[ax ^{2}+bx+c=0\]

it has no solutions if \[b ^{2}-4ac<0\]

unique solution if \[b ^{2}-4ac=0\]

many solutions if \[b ^{2}-4ac>0\]

Answer 2

that doesn't answer my question