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
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
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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