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\[{x}^{2}-27x+92=0\]
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x^(2)-27x+92=0
x^(2)-27x+92=0
{x}^{2}-27x+92=0
1
Factor
x
2
−
27
x
+
92
{x}^{2}-27x+92
x
2
−
2
7
x
+
9
2
.
1
Ask: Which two numbers add up to
−
27
-27
−
2
7
and multiply to
92
92
9
2
?
−
23
-23
−
2
3
and
−
4
-4
−
4
2
Rewrite the expression using the above.
(
x
−
23
)
(
x
−
4
)
(x-23)(x-4)
(
x
−
2
3
)
(
x
−
4
)
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!
(
x
−
23
)
(
x
−
4
)
=
0
(x-23)(x-4)=0
(
x
−
2
3
)
(
x
−
4
)
=
0
2
Solve for
x
x
x
.
1
Ask: When will
(
x
−
23
)
(
x
−
4
)
(x-23)(x-4)
(
x
−
2
3
)
(
x
−
4
)
equal zero?
When
x
−
23
=
0
x-23=0
x
−
2
3
=
0
or
x
−
4
=
0
x-4=0
x
−
4
=
0
2
Solve each of the 2 equations above.
x
=
23
,
4
x=23,4
x
=
2
3
,
4
To get access to all 'How?' and 'Why?' steps, join
Cymath Plus
!
x
=
23
,
4
x=23,4
x
=
2
3
,
4
Done
x=23,4
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