Prove that `(6x^(2)-22x+21)/(5x^(2)-18x +17)` for real values of x lies between 1 and `(5)/(4)`.

Find the least value of (6x^(2)-22x+21)/(5x^(2)-18x+17) for real values of x.

Find the least value of ((6x^2-22 x+21))/((5x^2-18x+17)) for real xdot

Find the sign of 6x^(2)-5x+1 for all real value of x.

If y=(x^2-3x+1)/(2x^2-3x+2) , where x is real, the value of y lies between (A) -1leyle5/7 (B) -1/2leyle5/7 (C) 5/7ltylt1 (D) none of these

If x be real, prove that the value of (2x^(2)-2x+4)/(x^(2)-4x+3) cannot lie between -7 and 1.

If x is real show sthat the value of (x^(2)+2x+3)/(x^(2)+2x+4) always lies between 2/3 and 1.

If x be real, prove that the value of (11x^(2)+12x+6)/(x^(2)+4x+2) cannot lie between -5 and 3.

Prove that for real values of x ,(a x^2+3x-4)//(3x-4x^2+a) may have any value provided a lies between 1 and 7.

Let f(x) = tan^(-1) (x^2-18x + a) gt 0 x in R . Then the value of a lies in

Solve sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1.