The quadratic `x^2+a x+b+1=0` has roots which are positive integers, then `(a^2+b^2)` can be equal to a.`50` b. `37` c. `61` d. `19`

If the roots of x^2-bx +c=0 are two consecutive integers then b^2-4c=

If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^(2)-4b is

If the roots of the equation x^(2)-bx+c=0 are two consecutive integers, then b^(2)-4c is

If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.

If the both roots of the equation x^(2)-bx+c=0 be two consecutive integers, then b^(2)-4c equals

If the roots of the cubic, x^2+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//b+1) is equal to __________.

If the roots of ht cubic, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//b+1) is equal to __________.

If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imaginary roots, then (a+b+1) is a. positive b. negative c. zero d. Dependent on the sign of b

The equation a x^2+b x+c=0 has real and positive roots. Prove that the roots of the equation a^2x^2+a(3b-2c)x+(2b-c)(b-c)+a c=0 re real and positive.

If the equation (b^2 + c^2) x^2 -2 (a+b) cx + (c^2 + a^2) = 0 has equal roots, then