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Find the zeros of the quadratic polynomi...

Find the zeros of the quadratic polynomial `f(x)=6x^2-3` , and verify the relation-ship between the zeros and its coefficients:

Text Solution

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The correct Answer is:
` x = 1/sqrt2 or x = (-1)/sqrt2 `

`6x^(2) - 3 = 3 (2x^(2)-1) = 3 (sqrt2 x-1)(sqrt2 x + 1).`
So, its zeros are `1/sqrt2 and (-1)/sqrt2 .`
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