Yes any time 4ac > b2 then x will be a complex number
the curve represented by that formula will have no x intercepts.
Yes.
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the quadratic formula is really complex. so, if you can avoid it, you should. one way i do this is by getting the trinomial into X^2 - 2YX + Y^2 = 0 form. here's an example lets say we have x^2 - 2x - 5 = 0 normally we would have to do the quadratic formula however, if we get it into this form, we can get x^2 - 2(1)x + 1 = 6 all i did was add 6 to both sides of the equation. you can now simplify the left side of the equation, and be left with (x-1)^(2) = 6 to get ride of the exponent on the left side, find the square root of both sides. this will leave you with (x-1) = (+ or -)radical(6) add one to both sides and you will get x = 1 (+ or -)radical(6) therefore, x can equal 1 + radical(6) or 1 - radical(6) now, this may seem complex, but it is easy once you get used to it. It is far more efficient than the long quadratic formula.
x is equal to negative b plus or minus the square root of b squared minus 4 times "a" times "c" all over 2 times "a"
The following is the answer:
subtract
A quadratic equation in its general form of ax2+bx+c = 0 whereas 'a' is equal or greater than 1 is applicable when finding the unknown variable of x by using the quadratic equation formula.