answer this question please
Answers
Answer:
true
Step-by-step explanation:
Technically it must have two zeroes, although those zeroes are sometimes the same. This is the fundamental theorem of algebra and it is always true, provided you have a large enough pool of numbers you are allowed to use.
However, sometimes, you have to limit your numbers. Sometimes you are only allowed to use integers, or rational numbers. Sometimes you are only allowed to use real numbers.
When you limit the numbers you are allowed to use, you limit the number of solutions you can use.
Let's take a look at an equation: x^2+1=0. Within the realm of real numbers, there are no solutions.
x2=−1
x=±−1−−−√
Conventional wisdom says there is no square root of -1. So when you are learning math, you say it doesn't, because the idea of such a number is unintuitive.
But… what if we imagined it did?
Suddenly, these ‘imaginary’ numbers open up a while bunch of mathematics, and we can do things we couldn't before.
And, as it turns out, it's all internally consistent.
And, physicists and engineers have even figured out ways to make them useful.
No, it is not possible for a quadratic equation to have no zeroes. It IS possible for one to have no real zeroes, and before you deal in complex numbers, that is generally what is meant by ‘having no zeroes.’
To determine if your zeroes are real or complex, use the determinant:
d=b^2–4ac.
If this is negative, the zeroes will have an imaginary component, and you will have no real zeroes.
And so you'll pretend imaginary numbers don't exist, and wink at your teacher (who knows they do, cause they took college math) and put that down. But you and I and they know better; just know they are keeping things simple for you right now but things get MUCH more interesting once you've mastered this.
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Answer:
i knew it
Step-by-step explanation:
false false false false false