" 4."acx^(2)+(bc+ad)x+bdby(ax+b)

Divide: x^(4)-y^(4)byx^(2)-y^(2)acx^(2)+(bc+ad)x+bdby(ax+b)

If the roots of the equation ax^(2)+2bx+c=0 and -2sqrt(acx)+b=0 are simultaneously real, then prove that b^(2)=ac

The factors of a ^(2) -b ^(2) - 4c ^(2) + 4d ^(2) - 4 (ad - bc) are :

If the equations x^(2)+abx+c=0 and x^(2)+acx+b=0 have a common root,then their other roots satisfy the equation

If r is the ratio of the roots of the equation ax^(2)+bx+c=0, then r is the root of the equation.(A) acx^(2)+(2ac-b^(2))x+ac=0 (C) acx^(2)+(2ac-b^(2))x-ac=0 (B) acx^(2)-(2ac-b^(2))x+ac=0(D)acx^(2)-(2ac-b^(2))x-ac=0

If (a-2b-3c+4d)(a+2b+3c+4d) = (a+2b-3c-4d)(a-2b+3c-4d) then 2ad = "(a) 3bc (b) bc (c) 5bc (d) 2bc"

If alpha and beta are roots of the equation ax^(2)+bx+c=0, find the roots of the equation acx^(2)-(b^(2)-2ac)x+ac=0 in terms of alpha and beta