Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b^2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation: 2x^2 + 7x + 3 = 0 Help please! Best answer and a fan!
@satellite73
Hint: The part of the quadratic formula that can be used to determine whether or not a quadratic equation can be solved by factoring is also known as the discriminant.
I've been stuck on this for like 2 days, and I haven't been able to submit my quiz, I don't even know where to start.
Is it going to be one of these −b b^2 − 4ac 2a or is it going to be a numeral?
if \(b^2-4ac\) is a perfect square, like say \(25\) or \(49\) then \(\sqrt{b^2-4ac}\) is a whole number, so you have rationals answers, so you can factor
Is the answer 25?
if \(b^2-4ac\) is not a perfect square, then you cannot factor using whole numbers or fractions
no, 25 is not the answer, it is an example of a perfect square
Ugh, I hate this.
it is really not such a big deal if the discriminant \(b^2-4ac\) is a square, then you can factor if it is not a square, then you cannot
the quadratic formula \[\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] has a square root in it if the number inside the radical is a perfect square, then you will have a fraction if you have a fraction, you can factor
the answer is 25 Actually.
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