Solve the equation

-13/4 - x = 1/2x - 1

Answer:2

x = 2 or 1/4

Step-by-step explanation:

-13/4 - x = 1/2x - 1

Collect like terms

-13/4+1=1/2x+x

Using LCM

(-13+4) / 4 = (1+2x²) / 2x

9/4 = (1+2x²) / 2x

Cross multiply

9 (2x) = 4 (1+2x²)

18x=4+8x²

Turn into quadratic and solve

8x²-18x+4

Using formulae method

-b± (√b²-4ac) / 2a

Where a=8, b = - 18 and c=4

( - (-18) ± (√ (-18) ²-4 (8) (4)) / 2 (8)

(18± (√324-128)) / 16

(18±√196) / 16

(18±14) / 16

(18+14) / 16 or (18-14) / 16

32/16 or 4/16

2 or 1/4