Math, asked by ishan1447R, 1 month ago

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Q).. If k is the ratio of the zeros of the polynomial 3 x²- 7 x + 2 then the value of 1/√2(k+1/k)½ is​

Answers

Answered by pragyanprakash
0

Answer:

\sqrt{3/37}

Step-by-step explanation:

3 x²- 7 x + 2 = 3 x² - x - 6x + 2 = x( 3x -1) - 2(3x-1) = (x-2)×(3x-1)

So, zeroes are 2 and 1/3 and k= (2/(1/3)) = 6

1/√2(k+1/k)½ = 1/ (√2 × \sqrt{6+1/6} ) = 1/\sqrt{12+1/3}  =1/\sqrt{37/3} = \sqrt{3/37}

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