Without expanding, the determinant, find the two values of x, satisfying.`|(1,4,20),(1,-2,5),(1,2x,5x^2)|=0`

Find the value of x if |(1,4,20),(1,-2,-5),(1,2x,5x^2)|=0

For x=0, find the value of x^2 -5x+5

Find the value of x if. |(x,-1,2),(2x,1,-3),(3,-4,5)|=29

Solve the following:Without expanding show that the value of the following determinants are Zero. |(1,1,x),(1,x,x^2),(1,x^2,x^3)|=0

Without expanding,find the values of the following determinants: |(41,1,5),(79,7,9),(29,5,3)|