The equation `[(1,2,2),(1,3,4),(3,4,k)]=[(0),(0),(0)]` has a solution for (x, y, z) besides (0, 0, 0). Then the value of k is _________ .

The equation [(1, x, y)][(1,3,1),(0,2,-1),(0,2,-1)] [(1),(x),(y)]=[0] has

If x = 2k + 1 and y = k is a solutions of the equation 5x + 3y - 7 = 0, find the value of k.

If A = [(1,0,2),(0,2,1),(2,0,3)] "and" " "A^(3)-6A^(2)+7A+kI=0, find the value of k.

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If 3x+4y+k=0 represents the equation of tangent at the vertex of the parabola 16x^(2)-24xy^(2)+14x+2y+7=0 , then the value of k is ________ .

The lines 3x-5y+1=0 and 5x+ky+2=0 are perpendicular if the value of k is ……….

If A=[(3,-2),(4,-2)] and I=[(1,0),(0,1)] , find k so that A^(2)=kA-2I

If the equation x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR , has exaclty three distinct solutions, then k is eaual to _____.