12.5x²-15x+7,2.25x²-6x-3,5.6x²-2.5x+13
Answers
Answered by
2
x
2
−
6
x
+
3
=
0
The equation is of the form
a
x
2
+
b
x
+
c
=
0
where:
a
=
1
,
b
=
−
6
,
c
=
3
The Discriminant is given by:
Δ
=
b
2
−
4
⋅
a
⋅
c
=
(
−
6
)
2
−
(
4
⋅
1
⋅
3
)
=
36
−
12
=
24
The solutions are found using the formula
x
=
−
b
±
√
Δ
2
⋅
a
x
=
−
(
−
6
)
±
√
24
2
⋅
1
=
6
±
√
24
2
√
24
can be further simplified as follows:
√
24
=
√
2
⋅
2
⋅
2
⋅
3
=
√
2
2
⋅
2
⋅
3
=
2
√
6
x
=
6
±
2
√
6
2
x
=
2
(
3
±
√
6
)
2
x
=
2
(
3
±
√
6
)
2
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