Find `b` in the equation `5x^2 + bx - 28 = 0` if the roots `x_1` and `x_2,` of the equation are related as `5x_1 +x_2= 1` and `b ` is an integer.

The roots of the equation x^(2) + 5x + 1 = 0 are

IF the equation 4x^2+2bx+c=0,b=0 , find the relation between the roots of the equation.

Find the roots of the equation 2x^(2) - 5x + 3 = 0 and verify whether 1 and (3)/(2) are the roots of the equation.

If alpha and beta are the roots of the equation x^(2) + bx + c = 0 , then the roots of the equation cx^(2) -b x + 1=0 are

Find the roots common to the equations x^5-x^3+x^2-1=0 and x^4= 1 .

If roots of the equation x^2-5x+6=0 are a and P, then find the equation having the roots (a-1) and (p-1)

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alpha and beta .

If roots of the equation 3x^2-6x+5=0 are oc and B, find the equation having the roots (1)/(alpha) and (1)/(beta)

x_1 and x_3 are the roots of the equation Ax ^2 - 4x +1=0 and x_2 and x_4 =0 are the roots of the requation Bx^2 - 6x + 1=0 if x_1 , x_2 , x_3 ,x_4 form a H.P , then (A,B) =

If x_1, x_2 be the roots of the equation x^2 -3x+ A=0 and x_3,x_4 be those of the equation x^2-12x + B = 0 and x_1 , x_2, x_3, x_4 be an increasing GP. find find A and B.