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Write zeros of the polynomial p(x)=4sqrt...

Write zeros of the polynomial `p(x)=4sqrt(3)x^2+5x-2sqrt(3)`

Text Solution

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`p(x) = 4sqrt3x^2+5x-2sqrt3`
To find zeroes, we will make `p(x) = 0.`
`:. 4sqrt3x^2+5x-2sqrt3 = 0`
`=> 4sqrt3x^2+8x-3x-2sqrt3 = 0`
`=>4x(sqrt3x+2)-sqrt3(sqrt3x+2) = 0`
`=>(4x-sqrt3)(sqrt3+2) = 0`
`=> x = sqrt3/4 and x = -2/sqrt3`
`:.` Zeroes of the polynomial `p(x)` are `sqrt3/4` and `-2/sqrt3`.
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