Question

How do you solve `\frac { 2} { x + 2} + \frac { x - 1} { 4} = 2`?

Answer 1

Solution: `x = 1/2(7+-sqrt89)`

Explanation:

`2/(x+2)+(x-1)/4 = 2` . Multiplying by `4(x+2)` on both sides

we get `8 +(x+2)(x-1)=2*4(x+2)` or

`8 + x^2 +x -2 -8x =16 or x^2-7x =10` or

`x^2 -7x +(7/2)^2 = 10 + 49/4` or

`(x-7/2)^2= 89/4 or x-7/2 = +- sqrt89/2` or

`x = 7/2 +- sqrt89/2 or x = 1/2(7+-sqrt89)` [Ans]