Have I done the quadratic equation correctly?

Gringo123 · 2010-03-05T14:46:54+00:00

x2 + 3x + 2 = 0 (x + 1) (x + 2) so x = -1 or -2 Is that right?

Thread starter Gringo123
Start date Mar 5, 2010
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Quadratic Quadratic equation

AI Thread Summary

The quadratic equation x² + 3x + 2 = 0 is correctly factored as (x + 1)(x + 2), leading to the solutions x = -1 and x = -2. To verify the factorization, one can expand the factors back to the original equation. Alternatively, substituting the solutions back into the equation can confirm their accuracy. If both methods yield consistent results, the values for x are indeed correct. This approach ensures a thorough understanding of solving quadratic equations.

Mar 5, 2010

Gringo123

x² + 3x + 2 = 0

(x + 1) (x + 2)

so x = -1 or -2

Is that right?

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Mar 5, 2010

Mentallic

Homework Helper

Yes. You can check if you factorized correctly by expanding your factors out.
or... you can check if your answers are correct by substituting them into the quadratic.

If the left-hand side is equal to the right-hand side, then you've found the correct values for x.

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