solve the following equation
3² =14−8
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Step-by-step explanation:
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Answered by
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Dividing both sides by 3, we get
x
2
−
3
14
x+
3
8
=0
Now, we add to both sides the square of half the coefficient of x to make the left side a perfect square. Adding 49/9 to both sides, we get
x
2
−
x
14
x+
9
49
=
9
49
−
3
8
or (x−
3
7
)
2
=
9
25
or x−
3
7
=±
3
5
i.e., x=
3
7
±
3
5
=
3
12
,
3
2
∴x=−4 or
3
2
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