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

Find the greatest value of 3+5x- 2x^(2) for all real values of x.

Find the value of x if x^2+5x+6=0

If |(x^2+4x, x-1, x+3),(2x, 3x-1, 5x-1),(6x-1, 4x, 8x-2)|=ax^4+bx^3+cx^2+dx+k be an identity in x and f(x) is a continuous function which attains ony rational values and f(0)=a, then f(x)=4 (A) for no value of x (B) for all values of x (C) ony for finite number of values of x (D) ony for all non zero values of x

Find the value of a which satisfies the equation ax ^2 +4x+1=0 for some real value of x.

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

Let y=sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Find the values of p if it satisfy, cos theta = x + p/x, x in R for all real values of theta .

Find value of x if x^2+5|x|+6=0

Find the value of : 4x^(3)-5x^(2)-6x+7 when x=3

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