x/(x+9) + (x-9)/x
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)
the Least Common Multiple is (x+9) and 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!!
Comments
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)
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!!