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Split the Plus-Minus

Part of the Factoring & Quadratics section of Coddy's Algebra journey. Lesson 50 of 63.

After the root is worked, one line holds both answers: x = (-5 ± 1) / 2. The ± is a textbook's way of carrying two equations in one, and the finishing move is to split it: the plus case x = (-5 + 1) / 2 = -2, the minus case x = (-5 - 1) / 2 = -3.

On the board the split is your move, exactly like the zero product split: tap the line and break it into its two cases, then work each one's arithmetic to a plain number.

Keep the two cases apart to the end. Adding first and subtracting later inside one line is where signs get tangled; two short case lines stay honest, and each lands on one of the two answers.

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Challenge

Medium

Solve x^2 + 9x + 8 = 0 with the quadratic formula, splitting the plus-minus.

Try it yourself

x^2 + 9x + 8 = 0

Solve for x

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This lesson includes a short quiz. Start the lesson to answer it and track your progress.

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