The discriminant is the bit under the radical, the
.
Because it's under a radical, it's what tells you how many and what kind of solutions you have (two real, one real, or two imaginary/complex solutions).
Does that answer your question? Or do you need an example?
Suppose you had the equation
, then you'd have:
,
and ![c=1](https://tex.z-dn.net/?f=c%3D1)
You'd plug those values into
to see if the discriminant was positive, zero, or negative:
![\begin{aligned}b^2-4ac &= (-7)^2-4(3)(1) \\&= 49 - 12 \\&= 37\endaligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Db%5E2-4ac%20%26%3D%20%28-7%29%5E2-4%283%29%281%29%20%5C%5C%26%3D%2049%20-%2012%20%5C%5C%26%3D%2037%5Cendaligned%7D)
Since that is 37 (a postiive number), you'd have two real solutions.
The correct unit price would be $1.08 per pair of gloves. What the contractor didn't notice was it was 7 <em>dozen</em> pairs of gloves, not just seven pairs. If it had been seven pairs, she would have been correct, but it was actually 84 pairs of gloves. She needed to divide 103.32 by 84 rather than 7.
Answer: A. negative 3 over 5 is located on the right of −2
Step-by-step explanation:
On a number line, the greater numbers are to the right and the smaller numbers are to the left.