The roots of the equation`|(1+x,1,1),(1,1+x,1),(1,1,1+x)| = 0` are `

The roots of the equation |{:(x-1,1,1),(1,x-1,1),(1,1,x-1):}|=0 are

The roots of the equation det [(1-x, 2, 3),(0,2-x,0),(0,2,3-x)]=0 are (A) 1 and 2 (B) 1 and 3 (C) 2 and 3 (D) 1,2, and 3

Solve the equation: |[x,1,1],[1,x,1],[1,1,x]|=0

Product of roots of equation |(1+2x,1,1-x),(2-x,2+x,3+x),(x,1+x,1-x^2)|=0 is

Find the root of the equation |x-1|^(x^(2)+x-2)=1

Solutions of the equation x|x+1|+1=0 are

The number of roots of the equation 1+log_(2)(1-x)=2^(-x) , is

Roots of the equations |{:(x,,m,,n,,1),(a,,x,,n,,1),(a,,b,,x,,1),(a,,b,,c,,1):}|=0 are

If a ,\ b ,\ c are the roots of the equation x^3+p x+q=0 , then find the value of the determinant |(1+a,1 ,1), (1, 1+b,1),( 1, 1 ,1+c)| .

If the roots of the equation (1)/(x+a) + (1)/(x+b) = (1)/(c) are equal in magnitude but opposite in sign, then their product, is