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The equation formed by multiplying each root of `ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0`
If the roots of the quadratic equation `3x^(2) - 5x + p =0` and unequal , then which one of the following is correct ?

A

`p=25//12`

B

`p lt 25 //12`

C

`pgt 25//12`

D

`p le 25//12`

Text Solution

Verified by Experts

The correct Answer is:
B
The given equation is ,
`3x^(2)- 5x + p = 0`
We have ,` a =3, b = -5 , c= p`
`D=b^(2) - 4 ac = 25 - 12 p`
For Real and unequal, `D gt 0`
`:. 25 - 12 p gt 0`
` rArr 25 gt 12 p rArr p lt 25/12`
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