Question

Find the decimal numbers whose sum is 2 and the product is 0.75.​

Answer 1

Answer:

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Answer 2

Answer:

Let x & y be the 2 decimal numbers

Step-by-step explanation:

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