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" If the roots of "x^(2)+bx+c=0" are two...

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

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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