SOLUTION: We are stumped Problem, solve equation: 18y^2+24y+18=0 we tried this 18y^2+12y+12y+8=0 6y(3y+2) 4(3y+2)=0 (6y+4)(3y+2)=0 2(3y+2)(3y+2)=0 2(9y^2+4)=0 18y^2+8=0 -8=-8(from

Question 422669: We are stumped
Problem, solve equation:
18y^2+24y+18=0
we tried this
18y^2+12y+12y+8=0
6y(3y+2) 4(3y+2)=0
(6y+4)(3y+2)=0
2(3y+2)(3y+2)=0
2(9y^2+4)=0
18y^2+8=0
-8=-8(from both sides)
18y^2=-8 we got this far
but the answer is -2/3, where did we go wrong??? Help!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You made a mistake in thinking that multiplies out to ; however, it really multiplies out to

Start with the given equation.

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

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

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solution is

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
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