The expression `a^2x^2+bx+1` will be positive for all `x in R` if

The expression a^(2)x^(2)+bx+1 will be positive for all x in R if

The quadratic expression x^(2)-x+1 is positive for x

If a>0, then the expression ax^(2)+bx+c is positive for all values of x' provided.

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

if the expression 4x - 5x^2 +1 is positive if x lies in

The expression (a-2)x^(2)+2(2a-3)x+(5a-6) is positive for all real value of x, then

Let a, b, c be three distinct real numbers such that each of the expressions ax^+bx +c, bx^2 + cx + a and ax^2 + bx + c are positive for all x in R and let alpha=(bc +ca+ab)/(a^2+b^2+c^2) then (A)alpha 1/4 (D) alpha>1

If the expression x^(2)-(m+2)x+4 is always positive for all real values of x, then find range of m

It is given that the expression ax^(2)+bx+c takes negative values for all x<7. Then