Posted by **jen** on Sunday, April 11, 2010 at 2:36pm.

Solve

x^2+2x-4=0

When i try to factor this problem out I cant get it to work. Is this a no solution problem

- math -
**Reiny**, Sunday, April 11, 2010 at 2:41pm
I hope you are not under the impression that every quadratic can be factored with rationals.

In this case I would complete the square,

x^2 + 2x + ... = 4

x^2 + 2x + 1 = 4+1

(x+1)^2 = 5

x+1 = ±√5

x = -1 ±√5

the same answer one would get if using the quadratic equation.

If the coefficient of the x^2 term is 1 and the middle term is even, I always use the "completing the square" method, it gives me the answer in simplified terms. The quadratic formula answers requires simplification.

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