See explanation below.
Explanation:
The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..
Assume we have some function of a single variable
x
;
we'll call this
f
(
x
)
Then we can form an equation:
f
(
x
)
=
0
Then the "roots" of this equation are all the values of
x
that satisfy that equation. Remember that these values may be real and/or imaginary.
Now, up to this point we have not assumed anything about
f
x
)
. To consider factors, we now need to assume that
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
.
That is that
f
(
x
)
factorises into some functions
g
(
x
)
×
h
(
x
)
If we recall our equation:
f
(
x
)
=
0
Then we can now say that either
g
(
x
)
=
0
or
h
(
x
)
=
0
.. and thus show the link between the roots and factors of an equation.
[NB: A simple example of these general principles would be where
f
(
x
)
is a quadratic function that factorises into two linear factors.
Answer:
Yes. It is an arithmetic sequence.
Step-by-step explanation:
The sequence would be add 5 every time.
-9 + 5 = -4
-4 + 5 = 1
1 + 5 = 6
Answer: Thomas is 33 years old
Step-by-step explanation:
59-7=52
52÷2=26
26+7=33
So therefore Thomas is 33 years old
89=x+1/3(7)
89=x+7/3
267/3=x+7/3
260/3=x
86 2/3=x. Hope it help!
