Answer:
25/4 will have to be added to "complete the square"
Step-by-step explanation:
x² - 5x - 18 = 0
x² - 5x = 18
Find the half of the coefficient of x and square it
(5/2)² = 25/4
Add 25/4 to both sides to complete the square
x² - 5x + 25/4 = 18 + 25/4
x² - 5x + 25/4 = 18(4/4) + 25/4
x² - 5x + 25/4 = 72/4 + 25/4
x² - 5x + 25/4 = (72+25)/4
x² - 5x + 25/4 = 97/4
(x - 5/2)² = 97/4
Find the square root of both sides
√(x - 5/2)² = ±√97/4
x - 5/2 = √97/2
x = √97/2 + 5/2 or x = -√97/2 + 5/2
x = 7.42443 or -2.42443
The prime factorization of 6000<span> = 2^4</span>•3•5^3.
<span>The prime factors of </span>6000<span> are 2, 3 and 5.</span>
Answer:
As number of gallons of gas minus 9 leaves 3 gallons, denote g as number of gallons: g - 9 >=3.
Then g>= 12
Answer:
q = -26
Step-by-step explanation:
Set up an equation where q is the unknown number:
q + 11 = -15
Solve for q by subtracting 11 from both sides:
q + 11 = -15
q = -26
