Answer:
x = 
Step-by-step explanation:
Given
 -
 -  =
 =  ← factor denominator
 ← factor denominator
 -
 -  =
 = 
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = 
However, x ≠ - 1 for reason given above, then
solution is x = 
 
        
             
        
        
        
4-x I know this because my teacher just went over this problem
        
             
        
        
        
Answer:
In Heather's solution to the problem, she wrote and solved an equation.
Her work is:
Step 1: 1.08(x +9.01 +0.98 +5.01) = 21.87
Solving like terms
1.08(x+15}=21.87
dividing both side by 1.08
we get
x+15=21.87/1.08
x+15=20.25
subtracting both side by 13.9198
x=20.25-15
x=5.25
According to correction
;
<u>Option 1st</u>
<u>yes,it is correct</u>
 
        
             
        
        
        
The greatest common factor is 12 because 12 times 3 is 36 and 12 times 7 is 84.
Hope this helps! :)