Statement 1 If x2 x 2 2 ndash a 3 x2 x 1 x2 x 2 a 4 x2 x 1 2 0 has at least one real root then ...........

Statement 1: If (x² + x + 2)² –(a-3) (x²+x+1) (x²+x+2)+(a-4)(x²+x+1)² = 0 has at least one real root , then $a\epsilon (5,\frac{17}{3})$

Statement 2: Range of f(x) = x² + x + 1 is $a\epsilon [\frac{3}{4},\infty )$

Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1.

Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

Statement 1 is true, statement 2 is false

Statement 1 is false, statement 2 is true

Statement 1 is false, statement 2 is true

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