Answer:
The coefficient 3.99 represent the cost of one bottle of nail polish.
Step-by-step explanation:
Given:
The equation to represent the amount of money left after buying 'p' bottles of nail polish is given as:
The remaining amount with Itzel can be calculated as:
Remaining amount = Initial amount - Cost of 'p' bottles.
The above expression tells us two things:
1. Initial amount of money Itzel has was 25.
2. The cost of 'p' bottles of nail polish is .
Therefore, the cost of one bottle is calculated using the unitary method is given as:
Therefore, cost of 1 bottle of nail polish is 3.99. Hence, coefficient 3.99 represent the cost of one bottle of nail polish.
Let's actually find the roots, using the quadratic formula:
<span>p(x)=x^2+x+3 gives us a=1, b=1 and c=3.
-1 plus or minus sqrt(1^2-4(1)(3))
Then x = -----------------------------------------------
2
The discriminant here is negative, so the roots x will be complex:
-1 plus or minus sqrt(-11) -1 plus or minus i*sqrt(11)
x = ---------------------------------- = -------------------------------------
2 2
These are irrational roots; they cannot be expressed as the ratios of integers.</span>