Solve the rational equation x over 5 equals x squared over quantity x plus 2 and check for extraneous solutions.

there are not extraneous solutions.

step-by-step explanation:

given the rational equation:

we need to solve for "x":

multiply both sides of the equation by and by 5:

make the equation equal to zero:

now factor out :

then we get:

to check for extraneous solutions, substitute the values obtained into   :

for

(i'ts true)

for

(i'ts true)

therefore, there are not extraneous solutions.

answer: 177/8

step-by-step explanation: