10. Find the decimal numbers whose sum is 2 and the product is 0.75. Give me the answer fast as could.
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1
Answer:
Let x & y be the 2 decimal numbers
By given condition,
x + y = 2...(1)
x × y = 0.75
y = 0.75/x...(2)
Substituting (2) in (1),
x + 0.75/x = 2
Multiplying by x on both sides,
x² + 0.75 = 2x
x² - 2x + 0.75 = 0
0.75 = 3/4
Thus,
4x² - 8x + 3 = 0
(2x-1) (2x-3) = 0
Thus, x = 1/2 or 3/2
In decimals, x = 0.5 or 1.5
Thus, y = 1.5 or 0.5
Step-by-step explanation:
Answered by
0
Answer:
Let x & y be the 2 decimal numbersBy given condition,x + y = 2...(1)x × y = 0.75y = 0.75/x.
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