Answer : The given polynomial equation can have 0,2 or 4 complex roots.
Explanation:-
Given polynomial equation is
which is a polynomial of degree 5.
We know that the complex roots always occur in pair ,therefore the number of complex roots in any polynomial must be an even number but less than equal to the degree of polynomial.
Thus, the given polynomial equation has 4 complex roots.
(A)
P(<em>X</em> < 61.25) = P((<em>X</em> - 55.4)/4.1 < (61.25 - 55.4)/4.1)
… ≈ P(<em>Z</em> ≤ 0.1427)
… ≈ 0.5567
(B)
P(<em>X</em> > 46.5) = P((<em>X</em> - 55.4)/4.1 > (46.5 - 55.4)/4.1)
… ≈ P(<em>Z</em> > -2.1707)
… ≈ 1 - P(<em>Z</em> ≤ -2.1707)
… ≈ 0.9850
Answer:
Step-by-step explanation:
Move all terms to one side
4x^2 + 4x + 5 = 0
Plug into quadratic formula
x = (-4 <u>+</u>
) / 2(4)
= (-4 <u>+</u>
)/8
At this point, there are no real answers. The roots to this equation are complex.
x = (-4 <u>+</u> 8i)/8
= (-1 <u>+</u> 2i)/2
Answer:
18:12 (accurate)
3:2 (simplified)
Step-by-step explanation:
The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:
30 - 18 = 12
The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:
won:lost ⇒ 18:12
18:12 is the ratio.
If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:
(18)/6 : (12)/6
3:2
3:2 is your simplified ratio.
~
Do you see -8x?
Take half of -8 and square it.
So, (-8)/2 = -4.
(-4)^2 = 16
Now add 16 to both sides.