If a + 1/a = 17 / 4 , find the value of a - 1/a.
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7
Answer:
a+1/a = 17/4
(a−1/a)^2 = a^2+(1/a)^2−4×a×1/a
a^2+1/a^2−4
= (17/4)^2−4
= 289/16−4
= 289−64/16
= 225/16
= a+1/a = 17/4
= a−1/a = 15/4
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Answered by
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(a + 1/a)² = a² + 1/a² + 2
17/4)² - 2 = a² + 1/a²
287 = a² + 1/a²
(a - 1/a)² = a² + 1/a² - 2
(a - 1/a) ² = 287 - 2
(a - 1/a) ² = 285
(a - 1/a = \/285
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