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The roots of the equation 2x^(2)-6x+3=0 ...

The roots of the equation `2x^(2)-6x+3=0` are

A

real, unequal and rational

B

real, unequal and irrational

C

real and equal

D

imaginary

Text Solution

Verified by Experts

The correct Answer is:
B

Given equation is `2x^(2)-6x+3=0.`
`:." "D=(-6)^(2)-4xx2xx3=(36-24)=12,`
which is greater than 0 and not a perfect square.
`:." "" the roots are real, unequal and irrational."`
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