3/(<em>x</em> ² - 1) = 3/((<em>x</em> - 1) (<em>x</em> + 1)) = <em>a</em>/(<em>x</em> - 1) + <em>b</em>/(<em>x</em> + 1)
==> 3 = <em>a</em> (<em>x</em> + 1) + <em>b</em> (<em>x</em> - 1)
==> 3 = (<em>a</em> + <em>b</em>) <em>x</em> + <em>a</em> - <em>b</em>
==> <em>a</em> + <em>b</em> = 3 and <em>a</em> - <em>b</em> = 0
==> <em>a</em> = <em>b</em>
==> <em>a</em> + <em>b</em> = 2<em>a</em> = 3 ==> <em>a</em> = 2/3 and <em>b</em> = 2/3
So you have
3/(<em>x</em> ² - 1) = 2/(3(<em>x</em> - 1)) + 2/(3(<em>x</em> + 1))
Answer:
21a + 9
Simplifying
21a + 9
Reorder the terms:
9 + 21a
Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 7a)
Final result:
3(3 + 7a)
HOPE THIS HELP
Answer:
B) because 18 times 100 is equal to 5 times x, which means that x is equal to
Step-by-step explanation:
B is the only statement that is true
<em>If you use cross product property to solve these proportions B is the only one that is correct</em>
<em>A) 18/x and 5/100 </em><em>x= 360 not 36</em>
<em>B) 18/x and 5/100 </em><em>x=360</em>
<em>C) 18/100 and 5/x </em><em>x = 27.7 not 36</em>
<em>D) 18/100 and 5/x </em><em>x= 27.7 not 360</em>
Answer:
Option D)Neither solution is extraneous.
Step-by-step explanation:
we have
we know that
two possible solutions are x=-7 and x=1
<u><em>Verify each solution</em></u>
Substitute each value of x in the expression above and interpret the results
1) For x=-7
----> is true
therefore
x=-7 is not a an extraneous solution
2) For x=1
----> is true
therefore
x=1 is not a an extraneous solution
therefore
Neither solution is extraneous
