Find the roots of x^4-3x-2=0
Answers
Answered by
0
Answer:
Note that
x
2
+
3
x
+
2
can be factored into
(
x
+
1
)
(
x
+
2
)
, so
x
4
+
3
x
2
+
2
=
(
x
2
+
1
)
(
x
2
+
2
)
So, we have the equation
(
x
2
+
1
)
(
x
2
+
2
)
=
0
Set both of these equal to
0
:
x
2
+
1
=
0
x
2
=
−
1
x
=
±
i
and
x
2
+
2
=
0
x
2
=
−
2
i
x
=
±
i
√
2
The equation has
4
complex roots and no real roots (meaning it never crosses the
x
-axis:
graph{x^4+3x^2+2 [-13.83, 14.65, -2.31, 11.93]}
Step-by-step explanation:
hope it helps
Answered by
1
Given :-
Required to find :-
Roots of
Procedure :-
Do the follows. Then equate and simplify it yourself.
(Do not expect me to do it for you.)
And please mark this answer brainliest.
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