Let `a ,b ,c` be real numbers `a!=0.` If `alpha` is a root of `a^2x^2+b x+c=0.beta` is the root of `a^2x^2-b x-c=0a n d0

Let a ,b ,c be real numbers with a!=0 and alpha,beta be the roots of the equation a x^2+b x+c=0. Express the roots of a^3x^2+a b c x+c^3=0 in terms of alpha,betadot

Let a ,b ,c be real numbers with a!=0 and alpha,beta be the roots of the equation a x^2+b x+c=0. Express the roots of a^3x^2+a b c x+c^3=0 in terms of alpha,betadot

Let a,b,c be real numbers with a!=0 and let alpha,beta be the roots of the equation ax^(2)+bx+c=0. Express the roots of a^(3)x^(2)+abcx+c^(3)=0 in terms of alpha,beta.

Let a ,b ,c be real numbers with a!=0a n dl e talpha,beta be the roots of the equation a x^2+b x+c=0. Express the roots of a^3x^2+a b c x+c^3=0 in terms of alpha,betadot

Let a,b,c be real numbers with a =0 and let alpha,beta be the roots of the equation ax^(2)+bx+C=0. Express the roots of a^(3)x^(2)+abcx+c^(3)=0 in terms of alpha,beta

Let a,b,c be real numbers with ane0 and let alpha,beta be the roots of the equation ax^2+bx+c=0 . Express the roots of a^2cx^2+(b^3-3abc)x+ac^2=0 in terms of alpha,beta .

Let a, b, c, d be distinct real numbers such that a, b are roots of x^2-5cx-6d=0 and c, d are roots of x^2-5ax-6b=0 . Then b+d is

Let a, b, c be real numbers with a = 0 and let alpha,beta be the roots of the equation ax^2 + bx + C = 0 . Express the roots of a^3x^2 + abcx + c^3 = 0 in terms of alpha,beta

If alpha is a real root of the quadratic equation a x^2+b x+c=0a n dbeta ils a real root of -a x^2+b x+c=0, then show that there is a root gamma of equation (a//2)x^2+b x+c=0 whilch lies between alpha & beta

If alpha is a real root of the quadratic equation a x^2+b x+c=0a n dbeta ils a real root of - a x^2+b x+c=0, then show that there is a root gamma of equation (a//2)x^2+b x+c=0 whilch lies between aa n dbetadot