Question

Select the correct answer.

Which quadratic equation is part of the solution process for solving this rational equation using the least common denominator?
.6
35 + 6
OA 12 + 1 - 2 = 0
OB. 12 + 1 + 10 = 0
OC. 2 - - 2 = 0
OD.
12 – 1 – 10 = 0

Answer 1

The answer is below!

Explanation:

Answer 2

D) x² -x - 10 =0

Explanation:

Given that

`(2)/(3x-6) - (1)/(3x+6) = (1)/(3)`

L.C.M

`(2(3x+6)-(3x-6))/((3x+6)(3x-6)) = (1)/(3)`

`((6x+12-3x+6))/((3x+6)(3x-6)) = (1)/(3)`

`((3x+18))/(((3x)^(2) )-(6)^(2) ) = (1)/(3)`

⇒
`3(3x+18) = 9 x^(2) - 36`

⇒ 9 x + 54 = 9 x² - 36

⇒ 9 x² - 36 - 9x - 54 =0

⇒ 9 x² - 9x - 90 =0

⇒ 9(x² -x - 10 ) =0

⇒ x² -x - 10 =0