Question

if x-¹/x=4 find :-

i) x² + 1/x²
ii) x⁴+ ¹/x⁴









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Answer 1

Answer:

x+1x=4

⟹(x+1x)2=42

⟹x2+1x2+2=16

⟹x2+1x2=14

⟹(x2+1x2)2=142

⟹x4+1x4+2=196

⟹x4+1x4=194

Step-by-step explanation:

I hope this is helpful for you

Answer 2

$\frac{ {x}^{ - 1} }{x} = 4 \\ \\ \frac{1}{ {x}^{2} } = 4 \\ \\ {x }^{2} = \frac{1}{4} \\ \\ i) {x}^{2} + \frac{1}{ {x}^{2} } = \frac{1}{4} + 4 = \frac{17}{4} \\ \\ ii) {x}^{4} + \frac{1}{ {x}^{4} } = ( { {x}^{2} + \frac{1}{ {x}^{2} } )}^{2} - 2 \\ \\ = { (\frac{17}{4}) }^{2} - 2 = \frac{289}{16} - 2 \\ \\ = \frac{257}{16}$