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

If the roots of the equation x^2-ax+b=0 y are real and differ b a quantity which is less than c(c >0), then show that b lies between (a^2-c^2)/4 and a^2/4.

If 8, 2 are roots of the equation x^2 + ax + beta and 3, 3 are roots of x^2 + alpha x + b = 0 then roots of the equation x^2+ax+b =0 are

If the roots of the equation x^2+2c x+a b=0 are real unequal, prove that the equation x^2-2(a+b)x+a^2+b^2+2c^2=0 has no real roots.

The equation whose roots are the arithmetic mean and twice the H.M between the roots of the equation x^2 + ax -b=0 is

If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the least value of x^2+ax+b is

if the difference of the roots of the equation x^(2)+ ax +b=0 is equal to the difference of the roots of the equation x^(2) +bx +a =0 ,then

lf alpha and beta are the roots of the equation x^2-ax + b = 0 and A_n = alpha^n + beta^n , then which of the following is true ?

If alpha and beta are the roots of the equation x^2+ax+b=0 and alpha^4 and beta^4 are the roots of the equation x^2-px+q=0 then the roots of x^2-4bx+2b^2-p=0 are always

IF alpha , beta are the roots of the equation x^2+2ax +b=0 , then the quadratic equation with rational coefficient one of whose roots is alpha + beta + sqrt(alpha ^2+ beta ^2) is

If alpha and beta are the roots of the equation x^2+ax+b=0 and alpha^4 and beta^4 are the roots of the equation x^2-px+q=0 then the roots of x^2-4bx+2b^2-p=0 are always A. Can t say anything B. two positive roots C. two negative roots D. one positive and one negative root