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

Consider the following statements : S_1 : If the roots of x^2-bx + c = 0 are two consecutive integers, then value of b^2-4c is equal to 1. S_2 : If alpha,beta are roots of x^2-x+3=0 then value of alpha^4+beta^4 is equal 7. S_3: If alpha,beta,gamma are the roots of x^3-7x^2+16x-12=0 then value of alpha^2+beta^2+gamma^2 is equal 17. State, in order, whether s_1,s_2,s_3 are true or fales

Consider the following statements 1 : If the roots of x^2-bx + c = 0 are two consecutive integers, then value of b^2-4c is equal to 1. S_2 : If alpha,beta are roots of x^2-x + 3 = 0 then value of alpha^4+beta^4 is equal 7. S_3 : If alpha,beta,gamma are the roots of x^3-7x^2 + 16 x-12=0 then value of alpha^2+beta^2+gamma^2 is equal to 17. State, in order, whether S_1, S_2, S_3 are true or false

If the roots of the equation x^2-bx+c=0 are two consecutive integers then 3(b^2-4c)=

If the roots of x^(2) - bx + c = 0 are two consecutive integral multiples of 5, then sqrt(b^(2) - 4c) is equal to ______

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

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