## Algebra: A Combined Approach (4th Edition)

The solutions are $1, 9$.
$z^{2}+9=10z$ Steps 1-3: not needed. Step 4: The equation is quadratic Step 5: Rewrite the equation in standard form. $z^{2}-10z+9=0$ Step 6: Factor. $(z - 1)(z-9)=0$ Step 7: Set each factor equal to 0. $z - 1=0$ or $z-9=0$ Step 8: Solve each equation. $z = 1$ or $z=9$ Final Step: Check by substituting into the original equation. The solutions are $1, 9$.