Find the values of "x" for which det A vanishes,where `A=|[x+1,-1],[2,x+4]`

Find the value of x if 2^x -2^(x-1) = 4

Find the value of x if det A=0 such that A=det[[-5,x+2,24,1,x-6]]

Let g(x)=(2x-x^(2))^((1)/(log_(10)(2x-x^(2)))) . The value of x for which f' vanishes may be

Find the value of x for which (5x+2),(4x-1) and (x+2) are in A.P.

Find the range of the values of x for which x^(2)-4x+2 lies between +1 and -1 .

Statement 1: If the primitive of f(x)=pi sin pi x+2x-4 has the value -2 for x=1, then there are exactly two values of x for which primitive of f(x) vanishes.Statement 2:cos pi x has period 2 .

Find the value of x for which |[3,x],[x,1]|=|[3,2],[4,1]|

Find the values of x for which (x^(2)-4x+3)/(x^(2)+x+1)<0

Find the values of x graphically which satisfy, -1le[x]-x^(2)+4le2 , where [.] denotes the greatest integer function.

find the matrix X such that AX=B where A=det[[1,2-1,3]],B=det[[0,12,4]]