[" Show that "p,q,r,s" are real numbers and "pr=2(q+s)," then atleast one of the equation "],[x^(2)+px+q=0,x^(2)+rx+s=0" has real roots."]

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)=rx+s=0 has real roots.

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

If p,q,r,s are real and prgt4(q+s) then show that at least one of the equations x^2+px+q=0 and x^2+rx+s=0 has real roots.

If p,q,r,s are real and prgt4(q+s) then show that at least one of the equations x^2+px+q=0 and x^2+rx+s=0 has real roots.

If p,q,r and s are real numbers such that pr=2(q+s), then show that at least one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

Determine or proving the nature of the roots: If p;q;r;s are real no.such that pr=2(q+s) then show that atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.