If `alpha`,`beta` be the roots of the equation `ax^2 + bx + c = 0`, form the quadratic equation whose roots are `1/alpha`,`1/beta`

if alpha , beta be the roots of the equation x^2 + x + 1 = 0 , find the quadratic equation whose roots are alpha^2000 and beta^2000

If alpha , beta be the roots of the equation x^2-px+q=0 ,form the quadratic equation whose roots are 2alpha-beta , 2beta-alpha

Find the quadratic equation whose roots are given as -4 and 1/2 .

The roots of the equation ax^2+x+b=0 are equal if

Find the quadratic equation whose roots are given below. -3, 4/3

If the roots of the equation ax^2 + bx + c = 0 are in the ratio 2:3 , then prove that 6b^2 = 25ac

If a and b are the roots of the equation x^2+ax+b=0 ,then a+b=

If alpha and beta are the two zeroes of the quadratic polynomial x^2-3x+7 , find a quadratic polynomial whose zeroes are 1/alpha and 1/beta .

If p be the ratio of roots of the equation ax^2 + bx + c = 0 , show that (p + 1)^2/p=b^2/(ac) .

If x=11,7 are the roots of the equation ax^2+bx+77=0 ,find the value of a,b.