If the length and breadth of a rectangle are (x2−x+2) cm and (x2+x−2) cm respectively, find the area of the rectangle.
Area of the rectangle = length×breadth
(x2−x+2)× (x2+x−2) =x4+x3−2x2−x3−x2+2x+2x2+2x−4 =x4−x2+4x−4 sq cm
Find the odd and even extensions of f(x) = x4−x3+x2 (x > 0)
[ Assume the domain and range is x < 0 of the following function ]
If x+1x=3, calculate x2+1x2,x3+1x3 and x4+1x4.
If x1,x2,x3,x4 are four positive real numbers such that x1+1x2=4, x2+1x3=1, x3+1x4=4 and x4+1x1=1, then