Replace
f
(
x
)
f
(
x
)
with
y
y
.
y
=
2
x
3
−
4
x
2
−
22
x
+
44
y
=
2
x
3
-
4
x
2
-
22
x
+
44
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
2
x
3
−
4
x
2
−
22
x
+
44
0
=
2
x
3
-
4
x
2
-
22
x
+
44
Rewrite the equation as
2
x
3
−
4
x
2
−
22
x
+
44
=
0
2
x
3
-
4
x
2
-
22
x
+
44
=
0
.
2
x
3
−
4
x
2
−
22
x
+
44
=
0
2
x
3
-
4
x
2
-
22
x
+
44
=
0
Factor the left side of the equation.
Tap for more steps...
2
(
x
−
2
)
(
x
2
−
11
)
=
0
2
(
x
-
2
)
(
x
2
-
11
)
=
0
Divide both sides of the equation by
2
2
. Dividing
0
0
by any non-zero number is
0
0
.
(
x
−
2
)
(
x
2
−
11
)
=
0
(
x
-
2
)
(
x
2
-
11
)
=
0
Set
x
−
2
x
-
2
equal to
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
x
=
2
Set
x
2
−
11
x
2
-
11
equal to
0
0
and solve for
x
x
.
Tap for more steps...
x
=
√
11
,
−
√
11
x
=
11
,
-
11
The solution is the result of
x
−
2
=
0
x
-
2
=
0
and
x
2
−
11
=
0
x
2
-
11
=
0
.
x
=
2
,
√
11
,
−
√
11
Answer:
Turning point has coordinates 
Step-by-step explanation:
Gandalf the Grey started in the Forest of Mirkwood at a point P(3, 0) and began walking in the direction of the vector 
The coordinates of the vector v are (-3,2). Then he changed the direction at a right angle, so he was walking in the direction of the vector 
(vectors u and v are perpendicular).
Let B(x,y) be the turning point. Find vectors PB and BQ:
Note that vectors v and PB and vectors u and BQ are collinear, so
Hence
Now solve the system of two equations:
Multiply the first equation by 3, the second equation by 2 and add them:
Substitute it into the first equation:
Turning point has coordinates
Answer:<span>= <span><span><span><span>25/2</span></span><span>x^40</span></span>+<span>70</span></span></span>
Answer: Cool!!
Step-by-step explanation: Please mark me brainliest!! Im trying to reach a goal and I only need 1 more!! If not its oki.. Have a great day!!
