Question

Q17. The product of a fraction and the sum of2

Answer 1

Answer:

Two fractions are such that their product is -2/5 and sum is 4/15. What are the two fra9ctions?

Solution: Let the fractions be x and (4–15x)/15.

Their product = x(4–15x)/15 = -2/5 = -6/15, or

x(4–15x) = -6

15x^2–4x-6 = 0

x1 = [4+(16+360)^0.5]/30

= [4+19.39071943]/30

= 23.39071943/30

= 0.779690647

= 78/100 or 39/50

The two fractions are (39/50) and (4/15)-(39/50) = [200–585)/750 or -385/750 or (-25.67/50).

The two fractions are (3900/5000) and (-2567/5000). Answer.