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2015
Mathematics
JAMB
Find x if 132
x
= 70
eight
.
A.
5
B.
3
C.
6
D.
1
Correct Answer:
6
Explanation
132
x
= 70
8
1 × x
2
+ 3 × x
1
+ 2 × x
0
7 × 8
1
+ 0 ×8
0
x
2
+3x + 2 −56 = 0 x
2
+ 3x −54 = 0 x(x + 9) −6(x + 9) = 0 (x + 9)(x − 6) = 0 Either (x + 9) = 0 or (x − 6) = 0 x = − 9 or +6 The positive values for x = 6 The base number for 132
x
= 132
6
132
x
= 70
8
1 × x
2
+ 3 × x
1
+ 2 × x
0
7 × 8
1
+ 0 ×8
0
x
2
+3x + 2 −56 = 0 x
2
+ 3x −54 = 0 x(x + 9) −6(x + 9) = 0 (x + 9)(x − 6) = 0 Either (x + 9) = 0 or (x − 6) = 0 x = − 9 or +6 The positive values for x = 6 The base number for 132
x
= 132
6
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