if x =2+√3 find the x-1/x
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Answered by
1
Answer:
2√3
Step-by-step explanation:
1/x = 1/2 + √3
= 1/2 + √3 × 2 - √3/2 - √3
= 2 - √3/(2 + √3)(2 - √3)
= 2 - √3 / (2)² - (√3)²
= 2 - √3 / 4 - 3
= 2 - √3/1
x - 1/x = 2 + √3 - (2 - √3)
= 2 + √3 - 2 + √3
= 2√3
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Answered by
1
Step-by-step explanation:
x = 2+√3
1/x = 1/2+√3
= 1(2-√3)/(2+√3)(2+√3)
= 2-√3/(2)²+(√3)²
= 2-√3/4-3
= 2-√3
Now,
x-1/x = [2+√3-(2-√3)]
= (2+√3-2+√3)
= (2√3)
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