It should be half antifreeze and then half water because you have to mix together
Best to factor 5 out of the first 2 terms:
5x^2-7x+2=0 => <span>5(x^2 - [7/5]x) +2=0
Take half of [-7/5]: That'd be -7/10.
Square 7/10, add it to </span>5(x^2 - [7/5]x) +2=0 and then subtract it:
5(x^2 - [7/5]x)+ 49/100 - 49/100 ) +2=0
Then we have 5(x- [7/10] )^2 - 49/100 ) + 200/100 = 0
5(x-7/5)^2 - 245/100 + 200/100 = 0
5(x-7/5)^2 - 45/100 = 0
Dividing all terms by 5, x-7/5 = plus or minus sqrt( 9/100 )
x-7/5 = plus or minus 3/10
Then one root is x = 7/5 + 3/10, or x= 17/10 (answer #1)
The other is x = 7/5 - 3/10, or x = 14/10 - 3/10, or x = 7/10 (answer #2)
Equation: 19-2(3x-1)/5 = x + 2
Solution:
1. Find x
(5) - 2 = (x + 2) - 2
x = 3
2. Plug in X and solve
19-2(3(3)-1)/3
19-2(9-1)/3
19-2(8)/3
19-16/3
<u>3/3 = 1</u>
1 and 1 fourth X n =6 so he needs 6 pieces
