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kaylaa154
18.01.2022 •
Mathematics
Write 104/-120 as a rational number in its standard form
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Ответ:
-13/15
Step-by-step explanation:
104/-120 should be reduced to lowest term and - should be in the numerator
Ответ:
Multiply both sides by 40x(x+2)
40x(x+2) (1/x + 1/(x+2)) = 40x(x+2) * 9/40
40(x+2) + 40x = 9x(x+2)
40x + 80 + 40x = 9x² + 18x
9x² + 18x = 80x + 80
9x² − 62x − 80 = 0
(9x + 10) (x − 8) = 0
x = −10/9, x = 8
Since x is an integer, then x = 8, and the two consecutive even integers are 8 and 10
Check:
1/8 + 1/10 = 5/40 + 4/40 = 9/40 ---> ok