Question

Solve 0 = z² - 10z +25 by factoring. Select the solution(s).

A. no real solution
B. Z=-8
C. Z=-7
D. z = -6
E. z=-5

Answer 1

To solve the equation 0 = z² - 10z + 25 by factoring, we can rewrite it as (z - 5)(z - 5) = 0 and set each factor equal to zero. The solution is z = -5.

Step-by-step explanation:

To solve the equation 0 = z² - 10z + 25 by factoring, we need to find two numbers that multiply to 25 and add up to -10 (the coefficient of the z term). The numbers in this case are -5 and -5.

Therefore, we can rewrite the equation as (z - 5)(z - 5) = 0. When we set each factor equal to zero, we get z = 5 and z = 5. However, since both factors are the same, the solution is z = -5.