The product of [ x+ 1x ][ x- 1x ] [x2 +1x2 ] is ………….
[x4 + 1x4 ] b. [x4 - 1x4 ] c. [x3 + 1x3 – 2 ] d. [x2 +1x2 + 2 ]
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ANSWER
Given,
⇒x
4
+
x
4
1
=194
⇒x
4
+
x
4
1
+2=194+2
⇒(x
2
+
x
2
1
)
2
=196
∴x
2
+
x
2
1
=14.......(ii)
⇒x
2
+
x
2
1
+2=14+2
(x+
x
1
)
2
=16
∴x+
x
1
=4.......(iii)
⇒(x+
x
1
)
3
=x
3
+
x
3
1
+3(x+
x
1
)
⇒4
3
=x
3
+
x
3
1
+3(4)
∴x
3
+
x
3
1
=52........(i)
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