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Consider the following statements 1 : I...

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

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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

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