How to factorize this in steps? (I don't want to solve for z I want the factorization steps)
1- 0.15z-1 - 0.1z-2
How to factorize this in steps? (I don't want to solve for z I want the factorization steps)
1- 0.15z-1 - 0.1z-2
\(1- 0.15z-1 - 0.1z-2\\ =1-1-2 - 0.15z - 0.1z\\ = -2 - 0.25z \\ = -0.25(8+z) \)
or
\(1- 0.15z^{-1} - 0.1z^{-2}\\ 1- \frac{0.15}{z} -\frac{ 0.1}{z^2}\\ \frac{1}{100z^2}(100z^2- 15z -10)\\\)
sqrt(15^2+4*100*10) = 65
(15+65)/200 = 0.4
(15-65)/200 = -0.25
\(=\frac{1}{100z^2}(z-0.4)(z+0.25)\\ =\frac{1}{100z^2}(z-0.4)(z+0.25)\\\)