If x-1/x=4, find the value of x⁴+1/x⁴
2 answers:
Use the binomial expansions of x - 1/x :
x - 1/x = 4
(x - 1/x)² = x² - 2 + 1/x² = 16
===> x² + 1/x² = 14
(x - 1/x)³ = x³ - 3x + 3/x - 1/x³
===> x³ - 1/x³ = 3 (x - 1/x) = 12
(x - 1/x)⁴ = x⁴ - 4x² + 6 - 4/x² + 1/x⁴
===> x⁴ + 1/x⁴ = 4 (x² + 1/x²) - 6 = 50
Answer:
so ,
x-1/×=4
Squaring both sides
(x+1/x)² = 4²
x²+1/x²+2×x×1/x = 16
x²+1/x²+2 = 16
Again, squaring both sides
(x²+1/x²)² = 14²
x⁴+1/x⁴+2x2 = 196
x⁴+1/x⁴ = 196-2
x⁴+1x⁴=194
Step-by-step explanation:
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Step-by-step explanation:
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A / [ pi r^2 ]<span> = θ / [ 2pi ] </span> [ multiply both sides by pi r^2 ]
A = [ θ / 2 ] r^2 = <span> (1/2)r^2 θ</span>
Answer:
You leave $2.22
Step-by-step explanation:
convert 15% to 0.15
multiply $14.80*0.15
14.80*0.15=2.22
tip:$2.22
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