(x/x+1)^2+2(x/x+1)-24=0
Answers
Answer:
(1): "^-1" was replaced by "^(-1)". 1 more similar replacement(s)
Step by step solution :
STEP
1
:
Equation at the end of step 1
((x-2) + 2x(-1)) - 24 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-24 + 2x(-1) + x(-2) = -x(-2) • (24x2 - 2x - 1)
3.2 Factoring 24x2 - 2x - 1
The first term is, 24x2 its coefficient is 24 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 24 • -1 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4
24x2 - 6x + 4x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
6x • (4x-1)
Add up the last 2 terms, pulling out common factors :
1 • (4x-1)
Step-5 : Add up the four terms of step 4 :
(6x+1) • (4x-1)
Which is the desired factorization
Answer:
(x/x+1)^2 + 2 (x/x+1) -24 = 0
Multiply BS with 0
solved !! JK
Step-by-step explanation:
take that 24 to second side
(x/x+1) common
you wd left with
blah blah blah diy