Q17. The product of a fraction and the sum of2
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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.
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