5x^(2)-24x-5=0

The roots of the equation x^(3)-5x^(2)-2x+24=0 are

If A=[[1,2,3] , [alpha,beta,5] ,[-6,7,9]] satisfies x^(3)-24x-72=0, then 3alpha+beta-425 is

If the product of two roots of x^(3)-5x^(2)-kx+24=0 is 12 then k=

Find the local maximum and local minimum value of f(x)= x^(3)-3x^(2)-24x+5

A pair of perpendicular straight lines is drawn through the origin forming with the line 2x+3y=6 an isosceles triangle right-angled at the origin. The equation to the line pair is 5x^2-24 x y-5y^2=0 5x^2-26 x y-5y^2=0 5x^2+24 x y-5y^2=0 5x^2+26 x y-5y^2=0

A pair of perpendicular straight lines is drawn through the origin forming with the line 2x+3y=6 an isosceles triangle right-angled at the origin. The equation to the line pair is a. 5x^2-24 x y-5y^2=0 b. 5x^2-26 x y-5y^2=0 c. 5x^2+24 x y-5y^2=0 d. 5x^2+26 x y-5y^2=0

A pair of perpendicular straight lines is drawn through the origin forming with the line 2x+3y=6 an isosceles triangle right-angled at the origin. The equation to the line pair is a. 5x^2-24 x y-5y^2=0 b. 5x^2-26 x y-5y^2=0 c. 5x^2+24 x y-5y^2=0 d. 5x^2+26 x y-5y^2=0

Find HCF of 10x^(3)-10x^(2)-5x + 9 " &" 30x^(3)-61x^(2)-24x + 10

The number of negative real roots of the equation (x ^(2)+5x) ^(2) -24 =2 (x^(2) +5x) is :