SOLUTION: 3x-5/x+2=x-1/2x-1 6x^2-13x+5=x^2+x-2 5x^2-14x+7 -(-14)+or-sqrt(-14)^2-4(5)(7)/2(5) 14+or-sqrt196-140/10 14+or-sqrt56/10 14+or-2sqrt14/5 I know I am doing this wrong. I wou

Question 282913: 3x-5/x+2=x-1/2x-1
6x^2-13x+5=x^2+x-2
5x^2-14x+7
-(-14)+or-sqrt(-14)^2-4(5)(7)/2(5)
14+or-sqrt196-140/10
14+or-sqrt56/10
14+or-2sqrt14/5
I know I am doing this wrong. I would greatly appreciate some direction. Thank you and I look forward to finding out where I went wrong.
Tina
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Cross multiply

FOIL

Get every term to the left side.

Combine like terms.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root

or Break up the expression.

or Reduce.

So the solutions are or

So it looks like you're on the right track.
RELATED QUESTIONS
{{{(x+5)/6 -((14-x)/2 -... (answered by Edwin McCravy)

Which ordered pair is a solution of the system? x+y =5... (answered by elima)

5x+2=-x+14 6x-3x+2=-10 2(x+2)=3(x-5) 3(m-2)=-2(m-7)... (answered by checkley79)

find the root or solution set of each of the ff. 1. 5+2(a-4)=a-11 5+2a-8-a+11=0... (answered by vanithaa)

5/14 - 2/x =... (answered by Fombitz,edjones)

2-3x < or equal to... (answered by checkley79)

Can you please help me solve this problem or see if I'm doing the work correctly? (answered by josgarithmetic)

1. |x | = 6 2. |3x + 2| = 14 3. - 5| x + 1| = -10 4. |x - 2| + 10 = 12 (answered by Nate)

Solve the system by graphing, substitution, or elimination. 1. Y=2 Y=x^2-14 2.... (answered by Alan3354)