Solve. 1/x - 1/x+4 = 1/3

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Solve. 1/x - 1/x+4 = 1/3

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

are you still typing?
Is the 1/x+4 over both the x and 4 or just the x?
both its 1 over x+4

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

\[1/x-1/(x+4) = 1/3\] Multiply both sides by x: \[1-x/(x+4) = x/3\] Write the left hand side as a single fraction: \[4/(x+4) = x/3\] Subtract x/3 from both sides: \[4/(x+4)-x/3 = 0\] Write the left hand side as a single fraction: \[(-x^2-4 x+12)/(3 (x+4)) = 0\] Multiply both sides by 3(x+4): \[-x^2-4 x+12 = 0\] Solve the quadratic equation by completing the square: Divide both sides by -1: \[x^2+4 x-12 = 0\] Add 12 to both sides: \[x^2+4 x = 12\] Add 4 to both sides: \[x^2+4 x+4 = 16\] Factor the left hand side: \[(x+2)^2 = 16\] Take the square root of both sides: \[|x+2| = 4\] Eliminate the absolute value: \[x+2 = -4 or x+2 = 4\] Subtract 2 from both sides: \[x = -6 or x+2 = 4\] Subtract 2 from both sides: \[x = -6 or x = 2\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question