" Q.4Show that,"x^(3)-3x^(2)-9x+20" is positive for all values of "x>4

If the equation x^(2)+9y^(2)-4x+3=0 is satisfied for all real values of x and y, then

If x^(3)=9x , then find all possible values of x :-

If x^(3)=9x , then find all possible values of x :-

If x^(3)=9x , then find all possible values of x :-

Show that the expression (x^2-3x+4)/(x^2+3x+4) lies between 1/7 and 7 for real values of x.

Show that the expression (x^2-3x+4)/(x^2+3x+4) lies between 1/7 and 7 for real values of x.

Show that the expression (px^(2)+3x-4)/(p+3x-4x^(2)) will be capable of all values when x is real,provided that p has any value between 1 and 7.

For what real values of a' and 'b' all the extrema of the function f(x)=(5a^(2))/(3)x^(3)+2ax^(2)-9x+b are positive and the maximum is at the point x_(0)=-(5)/(9)

If (x^2+a x+3)/(x^2+x+a) takes all real values for possible real values of x , then a. a^3-9a+12 =0 c. ageq1/4 d. a<1/4

IF x is real and the expressions 3x^2-17x+20 is always positive, show that, x cannot lie between 5/3 and 4.