Question

Roots of px^2 -2(p+2)x + 3p are m and n find m,n and p

Answer 1

Answer:

X+a=0

=x=-a

=(x)^2+p(x)+q

=-a^2+p(-a)+q

=a^2-ap+q

=(x)^2+mx+n

=a^2-am+n

Since x+a is a factor of x^2+px+q and x^2+mx+n

=a^2-ap+q=a^2-am+n

=a^2-a^2-ap+q=-am+n

=-am+n=-ap+q

=q-n=am-ap

=n-q=a(m-p)

=(n-q)÷(m-p)=a