8/x+1 + 8/x-1 = 256/60
Answers
Answer:
Step by step solution :
Step 1 :
64
Simplify ——
15
Equation at the end of step 1 :
8 8 64
(((—+1)+—)-1)-—— = 0
x x 15
Step 2 :
8
Simplify —
x
Equation at the end of step 2 :
8 8 64
(((— + 1) + —) - 1) - —— = 0
x x 15
Step 3 :
8
Simplify —
x
Equation at the end of step 3 :
8 8 64
(((— + 1) + —) - 1) - —— = 0
x x 15
Equation at the end of step 4 :
(x + 8) 8 64
((——————— + —) - 1) - —— = 0
x x 15
Equation at the end of step 5 :
(x + 16) 64
(———————— - 1) - —— = 0
x 15
Equation at the end of step 6 :
16 64
—— - —— = 0
x 15
7.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 16 • 15
—————————————————— = ———————
L.C.M 15x
R. Mult. • R. Num. 64 • x
—————————————————— = ——————
L.C.M 15x
Adding fractions that have a common denominator :
7.4 Adding up the two equivalent fractions
16 • 15 - (64 • x) 240 - 64x
—————————————————— = —————————
15x 15x
Step 8 :
Pulling out like terms :
8.1 Pull out like factors :
240 - 64x = -16 • (4x - 15)
Equation at the end of step 8 :
-16 • (4x - 15)
——————————————— = 0
15x
Here's how:
-16•(4x-15)
——————————— • 15x = 0 • 15x
15x
Now, on the left hand side, the 15x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-16 • (4x-15) = 0
Equations which are never true :
9.2 Solve : -16 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
9.3 Solve : 4x-15 = 0
Add 15 to both sides of the equation :
4x = 15
Divide both sides of the equation by 4:
x = 15/4 = 3.750
One solution was found :
x = 15/4 = 3.750