Answer: The solution is a=5
Step-by-step explanation: For this case the correct expression is:
15 / (a ^ 2 - 1) = 5 / (2a - 2)
Rewriting we have:
3 / (a ^ 2 - 1) = 1/2 (a - 1)
6 / (a ^ 2 - 1) = 1 / (a - 1)
6 (a - 1) = (a ^ 2 - 1)
6 (a - 1) = (a-1) (a + 1)
(a + 1) = 6
a = 6-1
a=5
Answer:
a = 1, 5
Step-by-step explanation:
given,
[tex]\dfrac{15}{a^2-1}=\dfrac{5}{2a-2}[/tex]
[tex]\dfrac{3}{a^2-1}=\dfrac{1}{2a-2}[/tex]
3(2 a - 2) = a² -1
6 a - 6 = a² - 1
a² - 6 a + 5 = 0
a²- 5 a - a + 5 = 0
a( a - 5 ) -1 ( a - 5) = 0
( a - 1 )( a - 5 ) = 0
a = 1, 5
hence, on solving we get the value of a = 1,5
