Question

Solve for x: 1/x+2 +1/x-1 = 5/4​

Answer 1

Answer:

Step-by-step explanation:

1/x+2 +1/x-1 = 5/4

2/x+1=5/4

2/x=(5/4)-1

2/x=1/4

2=1/4x

2*4=x

8=x

brainliest it..if it was helpful

Answer 2

$\huge{\underline{\tt{\red{Solution}}}}$

$\frac{1}{x + 2} + \frac{1}{x - 1} = \frac{5}{4} \\ \\ \frac{(x - 1) + (x + 2)}{(x + 2)(x - 1)} = \frac{5}{4} \\ \\ 4(2x + 1)= 5(x + 2)(x - 1) \\ \\ 8x + 4 = 5( {x}^{2} - x + 2x - 2) \\ \\ 8x + 4 = 5 {x}^{2} + 5x - 2 \\ \\ 5 {x}^{2} - 3x - 6 = 0 \\ \\ x = 8$

$\huge{\tt{\pink{ThankYou}}}$