Question

solve for x: 1+32/(x-2)(x+2)=8/x-2

Answer 1

so the common denominator is x2 -4

Answer 2

yes

Answer 3

Hi there. Do you want to learn how to solve this or just get an answer?

Answer 4

solve

Answer 5

6

Answer 6

than 1 multiply by (x2 -4)
32 multiply by nothing
8 multiply by (x+2)

Answer 7

if you want to get rid of the fractions,multiply the whole equation by (x-2)(x+2)

Answer 8

than
x2 -4 +32 = 8(x+2)

Answer 9

x2 -4 +32=8x+16
x2 -8x +12=0

Answer 10

x_1,_2=(8+/- sqrt(64-48))/2 =(8+/- 4)/2 = 2 and 6

Answer 11

ok ?

Answer 12

do you know what the excluded values that make these expressions undefined are?

Answer 13

2 is not a valid solution because then the divisor is undefined

Answer 14

yes right x not can being never 2 or -2

Answer 15

so the only solution is x=6

Answer 16

thank you ktklown