Step-by-step explanation:
rational numbers are all the numbers than can be expressed as a/b. fractions.
real numbers are all integers, all fractions, and every other number that could occur in nature, incl. the irrational numbers like square roots (e.g. sqrt(2), sqrt(3), sqrt(5), ...), pi, e, ...
just not complex or irregular numbers (like a + bi, where i = sqrt(-1)).
"roots" or "zeroes" are equally used words, and they mean the values for the used variable(s) that would lead to a result of 0 for the whole equation or group of equations.
ax³ + bx² + cx + d = 0
a "solution" is very similar, it just does not have to have 0 on one side of the equation. find the value(s) of the used variable(s) so that the given equation or group of equations are truly equal between left and right sides.
ax³ + bx² + cx = d
but as you can see, especially with only one equation, this is the same as the cases above.
