if x=1/√5-2 then find x³-3²-5x+3
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Answer:
hope this helps u
Step-by-step explanation:
x² = (√5 + 2)²
=> (√5)² + 2 × √5 × 2 + (2)²
=> 5 + 4√5 + 4
=> 9 + 4√5
Now,
x³ - 3x² - 5x + 3
=> (√5 + 2)(9 + 4√5) - 3(9+4√5) - 5(√5 + 2) +3
=> 9√5 + 20 + 18 + 8√5 - 27 - 12√5 - 5√5 - 10 + 3
Therefore the answer is 4
Thanks for the question!
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