- #1

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## Homework Statement

solve the equations below

1.) 2x -1 = (1/2) *x +3

and

2) 1/x - 4/ x

^{2}= 0

## Homework Equations

3. The Attempt at a Solution [/B]

2x -1 = 0,5x +3

2x= 0,5x +4

1,5x = 4

x= 4/ 1,5

x= 8/3

my math teacher told me that the x= 8/6 would have been correct solution to this first one

1/x -4/ x

^{2}= 0

1/x = 4/x

^{2}

we enlarge the fraction 1/x

x/ x

^{2}= 4/ x

^{2}

multiply both sides by x

^{2}

x= 4

singular solution assuming that originally x is unequal to 0 (because cannot divide with 0)

my teacher told me that this latter equation has twin solutions either x=-4 or x= 4

plugging -4 into the original equation, this seems not true at all...

-0,25 -( 0,25) = 0

-0,5 = 0

untrue.