The number of roots of a quadratic function can be determined from its discriminant.
If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.
The discriminant can be calculated as:
Disc = b² - 4ac
For the given equation:
Disc = 9 - 4(2)(1) =1
Since the value of discriminant is positive, the function will have two distinct roots.
So, the answer to this question is option B
Answer:
(x+10)(x-10)
Step-by-step explanation:
<span>Given that x represents the width of the rectangle and that the length of the rectangle is three times longer than the width. Then the length is 3x. The perimeter of a rectangle is given by 2(length + width) = 2(3x + x) = 2(4x) = 8x. The perimeter of the rectangle is 16 feet. Therefore, the required equation is 8x = 16. </span>
