Which constant must be added and subtracted to solve the quadratic equation
9x² + 3x - root 2 = 0 by the method of completing the square?
a 1/8
b 1/64
c 1/4
d 9/64
Answers
Answered by
0
Answer:
Answer
9x
2
+
4
3
x+2=0
Dividing by 9 on both sides we get,
x
2
+
12
x
+
9
2
=0
x
2
+
12
x
=−
9
2
Third term =(
2
1
×coefficient of x)
2
=(
2
1
×
12
1
)
2
= (
24
1
)
2
=
576
1
Adding
576
1
on both sides we get,
∴x
2
+
12
x
+
576
1
=
576
1
−
9
2
(x+
24
1
)
2
=
576
1
−
9
2
Hence, option B.
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