The zeros of the polynomial 4x^2 + 5sqrt(2)x - 3 are ______.

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KollegeApply · Accepted Answer

The zeros of the polynomial 4x^2 + 5sqrt(2)x - 3 are `underlinebb((-3sqrt(2))/2, sqrt(2)/4). Explanation: 4x^2 + 5sqrt(2)x - 3 = 4x^2 + 6sqrt(2)x - sqrt(2)x - 3 = 2sqrt(2)x(sqrt(2)x + 3) - (sqrt(2)x + 3) = (sqrt(2)x + 3)(2sqrt(2)x - 1) $\therefore$ x = (-3)/sqrt(2) = (-3)/sqrt(2) xx sqrt(2)/sqrt(2) = (-3sqrt(2))/2 or x = 1/(2sqrt(2)) = 1/(2sqrt(2)) xx sqrt(2)/sqrt(2) = sqrt(2)/4`

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