If ( x - 1/x ) = 3 , then find the value of ( x + 1/x )^2
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Answered by
12
Answer:
The answer to this question is 13
Step-by-step explanation:
Given that,
Now,
Answered by
5
EXPLANATION.
⇒ (x - 1/x) = 3.
As we know that,
Squaring on both sides of the equation, we get.
⇒ (x - 1/x)² = (3)².
⇒ (x)² + (1/x)² - 2(x)(1/x) = 9.
⇒ x² + 1/x² - 2 = 9.
⇒ x² + 1/x² = 9 + 2.
⇒ x² + 1/x² = 11.
As we know that,
Formula of :
⇒ (a + b)² = a² + b² + 2ab.
⇒ (x + 1/x)² = x² + 1/x² + 2(x)(1/x).
Put the values of (x² + 1/x²) = 11 in the equation, we get.
⇒ (x + 1/x)² = x² + 1/x² + 2.
⇒ (x + 1/x)² = 11 + 2.
⇒ (x + 1/x)² = 13.
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