2x^2 + x + 3=0 has only complex roots.
The determinant is 1-4*2*3 = -23
-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.
Answer:
98 - 40√6
Step-by-step explanation:
We have to simplify the following product :
.
Now,
=
=
{Since we know the identity (a - b)² = a² - 2ab + b² }
= 50 - 40√6 + 48
= 98 - 40√6 (Answer)
30 with the remainder of 714
Velocity * time = distance
40 (miles / hour) * t (hours) = 60 (miles)
Take note how the units work. miles/hour * hours = miles. This is an indication that a formula we picked is correct.
Now, looking at our formula (and neglecting units at this point)
40t = 60
t = 60/40
<span>t = 1.5 hours</span>
2x - 3 = 15
2x = 15 + 3 = 18
x = 18/2 = 9
Therefore, the equired value of x is 9.