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For the equation 2x^(2)-6sqrt(2)x-1=0...

For the equation `2x^(2)-6sqrt(2)x-1=0`

A

roots are rational

B

roots are irrational

C

if one root is `(p+sqrt(q))`, the other is `(-p+sqrt(q))`

D

if one roots is `(p+sqrt(q))` the other is `(p-sqrt(q))`

Text Solution

Verified by Experts

As the coefficient are not rational, irratiional roots
Here `alpha +beta=3sqrt(2)` and `alpha beta=-1/2`
Let `alpha =p+sqrt(q)`, then prove that other roots `beta=-p+sqrt(q)`
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