Question

solve the qadratic 2x²+px-p²=0 for x by quadratic formula​

Answer 1

2x^2+px-p^2=0

Now, D= b^2-4ac

= p^2-4×2×(-p^2)

= p^2+8p^2

=9p^2

Now, alpha = -b+√D/2a and beta= -b-√D/2a

So, alpha = -p+3p/4 = 2p/4 = p/2

And beta = -p-3p/4 = -4p/4 = -p