Problem: what two fractions have the sum of 8/15 ans the product of 1/15?
I have no idea what the fractions are. I. Am clueless
x * y = 1/15
x + y = 8/15
y = -x + 8/15
x * (-x + 8/15) = 1/15 Substitue the value of y into the first equation
-x^2 + 8/15 x = 1/15
-x^2 + 8/15 x - 1/15 = 0
x^2 - 8/15 x + 1/15 = 0
(x - 2/10)(x - 1/3) = 0 Factor the left side
(x - 2/10) = 0
x = 2/10
(x - 1/3) = 0
x = 1/3
Solve for y.
y = -x + 8/15
y = -2/10 + 8/15
y = -6/30 + 16/30
y = 10/30
y = 1/3 Same as the second value for x
Check the values.
x * y = 1/15
2/10 * 1/3 = 1/15
2/30 = 1/15
1/15 = 1/15
x + y = 8/15
2/10 + 1/3 = 8/15
6/30 + 10/30 = 8/15
16/30 = 8/15
8/15 = 8/15
Answer: the two fractions are 2/10 and 1/3