Answer: c=5.4
The two roots are 3/5 and 9/5
Step-by-step explanation:
assume 5x2−12x c=0 is supposed to be 5x^2 - 12x + c = 0
p = (12 + sqrt(144-20c))/10
q = (12 - sqrt(144-20c))/10
p-3q=0,
1.2 + 0.1sqrt(144-20c) +
-3.6 + 0.3sqrt(144-20c) = 0
-2.4 + 0.4sqrt(144-20c) +2.4 = 2.4
sqrt(144-20c) = 2.4/0.4 = 6
144-20c=36
144-36=20c
c = 108/20 = 5.4
5x^2-12x+5.4=0
x = 3/5 or x = 9/5
The first step is to subtract 6 from both sides to cancel it out. You will be left with -3x= -1.
To solve this, I used guess and check.
I started by finding 60²=3600 and 70²=4900. 70² is too much, so I then did 65²=4,225.
After 65², I did 62²=3,844. I knew that was pretty close, so I did 64. 64²=4,096 and 63²=3,969. So, 64² was it.
4,096-4015=81
So, you would need to add 81 to 4015 in order to receive a perfect square, which is 64²(4,096).
The store's sales equate to $6000
