I need help solving this rational (fractional) equation…?

Solve the equation for x

(x/(x-2))+((2x)/(4-x^2))=(5/(x+2))

Top 1 Answers

A few days ago

MsMath

Favorite Answer

x/(x-2) + 2x/(4-x^2) = 5/(x+2)

Notice that 4 -x^2 = -(x^2 -4)

x/(x-2) + 2x/(4-x^2) = 5/(x+2)

Pull the negative from 4-x^2

x/(x-2) – 2x/(x^2 -4) = 5/(x+2)

Notice that x^2 -4 = (x+2)(x-2)

Multiply both sides by (x+2)(x-2)

x(x+2) – 2x = 5(x-2)

x^2 + 2x -2x = 5x – 10

x^2 = 5x – 10

Subtract 5x from each side and add 10 to each side

x^2 -5x + 10 = 0

This equation has no real roots. If you are interested in the imaginary roots, then use the quadratic formula.

why does decoder give high output although it uses And gates?

what industry did these inventions come from?

List the 3 characteristics of populations.?

important scientists?

I need help with my grades?

The sum of 17 consecutive numbers is 306. What is the first number?

URGENT… how does virues distribution effect the world??

How do inflexible leaders affect productivity?