2 X square + 4 x + 8 is equal to zero
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Answer:
Explanation:
x
2
−
4
x
−
8
=
0
The equation is of the form
a
x
2
+
b
x
+
c
=
0
where:
a
=
1
,
b
=
−
4
,
c
=
−
8
The Discriminant is given by:
Δ
=
b
2
−
4
⋅
a
⋅
c
=
(
−
4
)
2
−
(
4
⋅
1
⋅
−
(
8
)
)
=
16
+
32
=
48
The solutions are found using the formula:
x
=
−
b
±
√
Δ
2
⋅
a
x
=
−
(
−
4
)
±
√
48
2
⋅
1
=
4
±
√
48
2
√
48
=
√
2
⋅
2
⋅
2
⋅
2
⋅
3
=
√
2
2
⋅
2
2
⋅
3
=
4
√
3
x
=
4
±
√
48
2
=
4
±
4
√
3
2
=
(
4
)
⋅
(
1
±
√
3
)
2
x
=
(
2
)
⋅
(
1
+
√
3
)
x
=
2
+
√
3
x
=
(
2
)
⋅
(
1
−
√
3
)
)
x
=
2
−
√
3
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