find the roots of the quadratic equation by using the quadratic formula 2x^2 -3x -5 =0
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Answer:
The solutions for the equation are:
x
=
−
5
2
,
x
=
1
Explanation:
2
x
2
+
3
x
−
5
=
0
The equation is of the form
a
x
2
+
b
x
+
c
=
0
where:
a
=
2
,
b
=
3
,
c
=
−
5
The Discriminant is given by:
Δ
=
b
2
−
4
⋅
a
⋅
c
=
(
3
)
2
−
(
4
⋅
2
⋅
(
−
5
)
)
=
9
+
40
=
49
The solutions are found using the formula
x
=
−
b
±
√
Δ
2
⋅
a
x
=
(
−
3
)
±
√
49
2
⋅
2
=
(
−
3
±
7
)
4
x
=
−
3
−
7
4
,
x
=
−
5
2
x
=
−
3
+
7
4
,x=1
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