If\({\rm{\;x}} + \frac{4}{{\rm{x}}} = 4,\)then find the value of x6 + 1
1). 51
2). 65
3). 78
4). 82
Given,
x + 4/x = 4
⇒ x2 + 4 = 4x
⇒ x2 - 4x + 4 = 0
⇒ (x - 2)2 = 0
⇒ x = 2
∴ (x6 + 1) = 26 + 1 = 64 + 1 = 651. Given (a + b + c) = 8, (a + b) = 4, what is the value of c × (c + 2b + 2a)?
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