Question

Which of the following are true about the given rational equations? CHECK ALL THAT APPLY!

Answer 1

a) x = 1 is a solution

c) x = -1 is also solution

Step-by-step explanation:

Step-by-step explanation:-

Given rational equation

`(4)/(x+6) + (1)/(x^(2) ) = (x+10)/(x^(2) (x+6))`

Now L.C.M and simplification, we get

`(4x^(2) +X+6)/(x^(2) (x+6)) = (x+10)/(x^(2)(x+6) )`

Now cancellation x²(x+6) on both sides, we get

4x²+x+6 = x +10

On simplification , we get

4x² +x+6 -x-10=0

4x²-4 =0

4(x²-1) =0

x²-1 =0

Apply Formula a²-b² = (a-b)(a + b)

(x-1)(x+1) =0

x =1 and x=-1

Hence x =1 and x =-1 is a solution of given rational function