Question

plz solve 3rd one.......
value of p
...​

Answer 1

Answer:

2

Step-by-step explanation:

Now the equation is x^2+5x+p=p(x)

Alpha and beta are zeros or solutions of this equation

Now as we know alpha+beta=-b/a and alpha×beta=c/a(in equation ax^2+bx+c=0)

Now a=2,b=5,c=p alpha^2+beta^2=(alpha+beta)^2-2alpha×beta

Now alpha^2+beta^2+alphabeta=21/4

Which means

(-5/2)^2-p+p/2=21/4

25/4-p/2=21/4

P/2=25-21/4

P/2=1

P=2