If 2x-3 is a factor of 5px^2-4px-3 then find value of p
Answers
Answered by
54
Since 2x-3 is a factor.
so 2x-3=0 =>x=3/2.
f(x)=5px^2-4px-3.
putting x=3/2 in f(x).
then 5p(3/2)^2-4p3/2-3=0
=>5p9/4-6p-3=0
=>(45p-24p-12)/4=0
=>21p-12=0
=>21p=12
=>p=12/21
=>p=4/7
so 2x-3=0 =>x=3/2.
f(x)=5px^2-4px-3.
putting x=3/2 in f(x).
then 5p(3/2)^2-4p3/2-3=0
=>5p9/4-6p-3=0
=>(45p-24p-12)/4=0
=>21p-12=0
=>21p=12
=>p=12/21
=>p=4/7
Similar questions