Math, asked by crazygirl01125, 1 month ago

Question:

If x = 7 - √45/2, find the value of
(x³ + 1/x³) - 7(x² + 1/x²) + (x + 1/x)

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Answers

Answered by vivekvardhanmannepal
2

Step-by-step explanation:

x=7-√45/2

x^3+1/x^3

=(7-3√5)^3/8 + 1/(7-3√5)^3/8

343-441√5+945-135√5/8 + 8/343-441√5+945-135√5

1288-576√5/8 + 8/1288-576√5

8(161-72√5)/8 + 8/8(161-72√5)

161-72√5 + 1/161-72√5

(rationalize)

=161-72√5+161+72√5(72√5,-72√5 cancel)

161+161=322

Answered by xXOfficialKaminaXx
8

Answer:

If x = 7 - √45/2, find the value of

(x³ + 1/x³) - 7(x² + 1/x²) + (x + 1/x)

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