Solve for x and state all x-values that are excluded from the solution set. 5/(x+1)+1/(x-3)=-6/(x^2-2x-3)

Factor x^2 - 2x - 3

5/x + 1 + 1/x - 3 = -6/(x - 3)(x + 1)

Multiply both sides by the Least Common Denominator (LCD): (x + 1)(x - 3)

5(x - 3) + x + 1 = -6

Simplify

6x - 14 = -6

Add 14 to both sides

6x = -6 + 14

Simplify -6 + 14 to 8

6x = 8

Divide both sides by 6

x = 8/6

Simplify 8/6 to 4/3

x = 4/3

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

no idea

step-by-step explanation: