Answer:
The answer to your question is below
Step-by-step explanation:
a)
z² - 5z + 8
Equal to zero z² - 5z + 8 = 0
Subtract 8 in both sides z² - 5z + 8 - 8 = 0 - 8
Simplify z² - 5z = -8
Divide -5 by 2 write the result
in both sides of the equation z² - 5z + (-5/2)² = -8 + (-5/2)²
to the power of 2
Simplify z² - 5z + 25/4 = -8 + 25/4
z² - 5z + 25/4 = -32/4 + 25/4
z² - 5z + 25/4 = -7/4
Factor (z - 5/2)² = -7/4
b)
x² - 0.6x + 1
Convert 0.6 to a fraction 0.6 = 6/10 = 3/5
x² - 3/5x + 1
Equal to zero x² - 3/5x + 1 = 0
Subtract -1 in both sides z² - 3/5z + 1 - 1 = 0 - 1
Simplify z² - 3/5z = - 1
Divide -3/5 by 2 write the result
in both sides of the equation z² - 3/5z + (-3/10)² = -1 + (-3/10)²
to the power of 2
Simplify z² - 3/5z + 9/100 = -1 + 9/100
z² - 3/5z + 9/100 = -100/100 + 9/100
z² - 3/5z + 9/100 = -91/100
Factor (z - 3/10)² = -91/100
