Algebra math problem Help?

kirsten-russell_60af3b7f07b74

x/(x+9) + (x-9)/x

some1

just take a common denominator which would be (x+9)*x. Then, solve.

= [(x*x) + {(x-9)*(x+9)}] / ((x+9)*x) = 0 =>[(x^2) + (x^2) - 81] / [(x^2) +9x] = 0

=> [2*(x^2) -81] / [(x^2) +9x] = 0 NOW, multiply both sides by [(x^2) +9x]

=> 2(x^2) - 81 = 0

when you solve this you will get,

x = +9/ square root(2) and -9/ square root(2)

devinity04230

the Least Common Multiple is (x+9) and x

x/(x+9) + (x-9)/x

for the left side of the equation, you are going to multiple the top and bottom by x

for the right side of the equation, you are going to multiple the top and bottom by x+9

this will give us a common denominator of x(x+9)

the top becomes:

x(x) + (x-9)(x+9)

remember the denominator is x(x+9)

x(x) + (x-9)(x+9) over x(x+9)

compute the numerator

x^2 + x^2 - 81 over x(x+9)

now we can add the x^2 together and get the answer:

2x^2 - 81 over x(x+9)

2x^2 - 81/ x(x+9)

Hope this helps!!