Solving first and second degree equations

[late347]

Homework Statement

solve the equations below1.) 2x -1 = (1/2) *x +3

and

2) 1/x - 4/ x²= 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/ x² = 0

1/x = 4/x²

we enlarge the fraction 1/x

x/ x² = 4/ x²

multiply both sides by x²

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.

 

[ehild]

Homework Statement

solve the equations below1.) 2x -1 = (1/2) *x +3

and

2) 1/x - 4/ x²= 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/ x² = 0

1/x = 4/x²

we enlarge the fraction 1/x

x/ x² = 4/ x²

multiply both sides by x²

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.

Your solutions are correct.

 

[late347]

Your solutions are correct.

Thank you for prompt response. It looks like even math teachers make silly mistakes sometimes. Twice in this problem sheet.

Can you take a gander at my other thread about algebra problem that I had. I just posted a simple word problem in the same precalculus homework math subrofum

 

[ehild]

Thank you for prompt response. It looks like even math teachers make silly mistakes sometimes. Twice in this problem sheet.

Can you take a gander at my other thread about algebra problem that I had. I just posted a simple word problem in the same precalculus homework math subrofum

I see you solved it.

 

[SteamKing]

Time to find another math teacher.