5^x+1 + 5^1-x=26Find x
Harsh Srivastava , 12 Years ago
Grade 9
Algebra> 5^x+1 + 5^1-x=26 Find x
3 Answerssanatan sharma
Last Activity: 12 Years ago
|
5^x+1 + 5^1-x=26 (5)(5x) + (5)/(5x) = 26 5(5x + 1/(5x))=26 considering 5x = y the equation becomes 5y2 - 26y +5 = 0 or y = 5 , 1/5 therefore x = 1 , -1 |
G Narayana Raju
Last Activity: 12 Years ago
5x+1 + 51-x=26
(5)(5x) + (5)/(5x) = 26
5(5x + 1/(5x))=26
let m=5x5m2 - 26m +5 = 0
5m2-25m-m+5=0
5m(m-5)-(m-5)=0
(5m-1)(m-5)=0
m= 5 , 1/5
thus x = 1 , -1.
Kushagra Madhukar
Last Activity: 4 Years ago
Dear student,
Please find the solution to your problem.
5x+1 + 51-x=26
(5)(5x) + (5)/(5x) = 26
5(5x + 1/(5x))=26
let m=5x
Hence, 5m2 - 26m +5 = 0
5m2-25m-m+5=0
5m(m-5)-(m-5)=0
(5m-1)(m-5)=0
m= 5 , 1/5
thus 5x = 5 or 5x = 1/5
Hence, x = 1 or – 1
Thanks and regards,
Kushagra
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