X^2 - 10x - 9 = 0
first we will move the constant term to the other side
x^2 - 10x = 9
then, to both sides we will add the number that makes the polynomial on the left a perfect square trinomial. Take half of the coefficient of x, then square it. half of the coefficient of x (-10) is -5, and -5 squared is 25. so:
x^2 - 10x + 25 = 34
factor the perfect square trinomial
(x - 5)^2 = 34
x - 5 = plus or minus sqrt(34)
x = 5 plus or minus sqrt(34)
Answer: The total number of games sold by the GameStop is 14. That is 5 games of $43 and 9 games of $30.
Step-by-step explanation:
Considering some games of $43 were sold and others for $30 were also sold in arriving at the total of $485 sold.
If 5 games of $43 were sold it gives $215.
To get the difference, you subtract the amount sold for $43 from the total.
$485 - $215 = $270
To arrive at how many $30 games were sold;
$270 ÷ $30 per game = 9 games
Therefore, 5 games of $43 combined with 9 games of $30 gives a total of 14 games.
Sold Last Month: 60 x
= 40
Remaining from last month: 60 - 40 = 20
Sold This Month: 20 x
= 8
Remaining from this month: 20 - 8 = 12
Answer: there are 12 houses left to be sold