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12.03.2020 •
Mathematics
5/x-1/x+3
2/x-3+1/x
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Ответ:
37 - 3x
———————
x
Step-by-step explanation:
Step 1 :
1
Simplify —
x
Equation at the end of step 1 :
5 1 32 1
(((—-—)+——)-3)+—
x x x x
Step 2 :
32
Simplify ——
x
Equation at the end of step 2 :
5 1 32 1
(((—-—)+——)-3)+—
x x x x
Step 3 :
1
Simplify —
x
Equation at the end of step 3 :
5 1 32 1
(((— - —) + ——) - 3) + —
x x x x
Step 4 :
5
Simplify —
x
Equation at the end of step 4 :
5 1 32 1
(((— - —) + ——) - 3) + —
x x x x
Step 5 :
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5 - (1) 4
——————— = —
x x
Equation at the end of step 5 :
4 32 1
((— + ——) - 3) + —
x x x
Step 6 :
Adding fractions which have a common denominator :
6.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 + 32 36
—————— = ——
x x
Equation at the end of step 6 :
36 1
(—— - 3) + —
x x
Step 7 :
Rewriting the whole as an Equivalent Fraction :
7.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
3 3 • x
3 = — = —————
1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
36 - (3 • x) 36 - 3x
———————————— = ———————
x x
Equation at the end of step 7 :
(36 - 3x) 1
————————— + —
x x
Step 8 :
Step 9 :
Pulling out like terms :
9.1 Pull out like factors :
36 - 3x = -3 • (x - 12)
Adding fractions which have a common denominator :
9.2 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-3 • (x-12) + 1 37 - 3x
——————————————— = ———————
x x
Final result :
37 - 3x
———————
x
Processing ends successfully
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Ответ:
The sixth term of the sequence is:
+80 or -80
Step-by-step explanation:The 5th term of geometric sequence is given by:
We know that the nth term of a geometric sequence with first term a and common difference r is given by:
Also, we have:
and
on dividing 7th term by 5th term we get:
Hence, the sixth term of the sequence is given by:
Hence, the sixth term of the geometric sequence is:
+80 or -80