Question

If x =4-root 15 find the value of x^3 + 1/x^3

Answer 1

x=4-√15

1/x=4+√15

x³=64-48√15+180-15√15

1/x³=64+48√15+180+15√15

x³+1/x³=

64-48√15+180-15√15+64+48√15+180+15√5=

128+360=

488

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