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Which of the following are the solutions of `2x^(2)-5x-3=0`?
(i) `x=2`
(ii) `x = 3`
(iii) `x=(-1)/(2)`

A

only (i)

B

(i) and (ii)

C

(ii) and (iii)

D

(i) , (ii) and (iii)

Text Solution

Verified by Experts

The correct Answer is:
C
The given equation is `2x^(2)-5x-3=0`
(i) On substituting x=2 in the given equation
L.H.S. `=2xx2^(2)-5xx2-3=8-10-3=-5neR.H.S.`
:. X =2 is not a solution of `2x^(2)-5x-3=0`
(ii) On substituting x=3 in the given equation
`L.H.S.=2xx3^(2)-5xx3-3=18-15-3=0=R.H.S.`
:. x=3 is a solution of `2x^(2)-5x-3=0`
(iii) On substituting `x=-(1)/(2)` in the given equation
`L.H.S.=2xx((-1)/(2))^(2)-5xx((-1)/(2))-3=2xx(1)/(4)+5xx(1)/(2)-3`
`:.x=(-1)/(2)` is a solution of `2x^(2)-5x-3=0`
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