If a-1/a =5 find a^2+1/a^2-3a+3/a
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3
Answer:
12
Step-by-step explanation:
a - 1/a = 5
Squaring on both sides
=> a² + 1/a² - 2(a)(1/a) = 5²
=> a² + 1/a² - 2 = 25
=> a² + 1/a² = 25 + 2
=> a² + 1/a² = 27
a² + 1/a² - 3a + 3/a
= a² + 1/a² - 3( a - 1/a )
= 27 - 3( 5 )
= 27 - 15
= 12
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