Posted by **Robo** on Tuesday, May 31, 2011 at 1:39pm.

Solve by factoring.

2x^4 + x^2 = 1

- Algebra -
**Rebecca**, Tuesday, May 31, 2011 at 1:45pm
Follow these steps:

1.Move all terms to one side of the equation, usually the left, using addition or subtraction.

2.Factor the equation completely.

3.Set each factor equal to zero, and solve.

4.List each solution from Step 3 as a solution to the original equation.

- Algebra -
**Robo**, Tuesday, May 31, 2011 at 2:23pm
I understand that. Problem is that I am not getting the same answer as the book.

Sqrt 2/2 and - sqrt 2/2

- Algebra -
**Mike**, Tuesday, May 31, 2011 at 3:39pm
x= } 1/2

- Algebra -
**MathMate**, Tuesday, May 31, 2011 at 3:48pm
Substitute y=x²

2y²+y-1=0

Solve to get

y=-1 or y=1/2

if x²=-1, x=±i

if x²=1/2, x=±(1/2)=±(√2)/2

- Algebra - typo -
**MathMate**, Tuesday, May 31, 2011 at 3:49pm
if x=1/2, x=√(1/2)=(√2)/2

- Algebra -
**algebra**, Wednesday, June 1, 2011 at 6:51am
Thanks! got it.

- Algebra -
**MathMate**, Wednesday, June 1, 2011 at 8:08am
You're welcome!

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