find the value of x = ? if the equation is 3x^2+5x+2=0
Answers
Answered by
0
The solutions are:
x
=
1
3
,
x
=
−
2
Explanation:
The equation
3
x
2
+
5
x
−
2
is of the form
a
x
2
+
b
x
+
c
=
0
where:
a
=
3
,
b
=
5
,
c
=
−
2
The Discriminant is given by:
Δ
=
b
2
−
4
⋅
a
⋅
c
=
(
5
)
2
−
(
4
)
⋅
(
3
)
⋅
(
−
2
)
=
25
+
24
=
49
As
Δ
>
0
there are two solutions,
The solutions are found using the formula:
x
=
−
b
±
√
Δ
2
⋅
a
As
Δ
=
49
,
x
=
−
(
5
)
±
√
49
2
⋅
3
=
−
5
±
7
6
x
=
−
5
−
7
6
=
−
2
x
=
−
5
+
7
6
=
1
3
Answered by
1
Step-by-step explanation:
Answer is in the pic.
hope it will help you !
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