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The zeros of the polynomial 4x^2+5sqrt(2...

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

A

` -3sqrt2, sqrt2`

B

`-3sqrt2, sqrt2/2`

C

` (-3sqrt2)/2 sqrt2/4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`4x^(2)+5sqrt2 x - 3 = 4x^(2) + 6sqrt2 x- sqrt2 x - 3`
` = 2sqrt2 x (sqrt2 x + 3)-(sqrt2 x + 3) = (sqrt2 x + 3) (2 sqrt2 x - 1).`
`:. X = (-3)/sqrt2 xxsqrt2/sqrt2 = (-3sqrt2)/2 or x = 1/(2sqrt2) xx sqrt2/sqrt2 = sqrt2/4.`
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