0 4x² 50x²7xt I & 4X=1
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Answered by
0
Answer:
4
x
2
-4
x
+1=0
4
x
2
-2
x
-2
x
+1=0
2
x
(2
x
-1)-1(2
x
-1)=0
(2
x
-1)(2
x
-1)=0
(
2
x
−
1
)
2
=0
2
x
=1
threfore ,
x
=
1
2
Here I have used middle-term technique to factorize the equation
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Jim G.
Mar 13, 2018
x
=
1
2
multiplicity 2
Explanation:
Using the a-c method to factor the quadratic
the factors of + 4 which sum to - 4 are - 2 and - 2
⇒
4
x
2
−
2
x
−
2
x
+
1
=
0
←
split the middle term
⇒
2
x
(
2
x
−
1
)
−
1
(
2
x
−
1
)
=
0
←
factor by grouping
Take out a common factor
(
2
x
−
1
)
⇒
(
2
x
−
1
)
(
2
x
−
1
)
=
0
⇒
(
2
x
−
1
)
2
=
0
⇒
2
x
−
1
=
0
⇒
x
=
1
2
twice
Step-by-step explanation:
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