Have I done the quadratic equation correctly?

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SUMMARY

The quadratic equation x² + 3x + 2 = 0 has been correctly factored into (x + 1)(x + 2), yielding the solutions x = -1 and x = -2. Verification of these solutions can be performed by substituting them back into the original equation to confirm that both sides are equal. This method ensures the accuracy of the factorization and the derived roots.

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Gringo123
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x2 + 3x + 2 = 0

(x + 1) (x + 2)

so x = -1 or -2

Is that right?
 
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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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