Split the Plus-Minus
Part of the Factoring & Quadratics section of Coddy's Algebra journey. Lesson 50 of 63.
After you work out the square root, one line holds both answers: x = (-5 ± 1) / 2. The ± carries two equations in one line. The last step is to split it. The plus case is x = (-5 + 1) / 2 = -2. The minus case is x = (-5 - 1) / 2 = -3.
Splitting the ± is a step you do yourself, just like splitting a zero product into two equations. Write the two cases, then work out each one to a single number.
Write the plus case and the minus case on separate lines. Work out each line on its own, so the two sign choices never get mixed in one calculation.
Challenge
MediumSolve x^2 + 9x + 8 = 0 with the quadratic formula. Split the ± into two cases at the end.
Try it yourself
Solve for x
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Factoring & Quadratics
1What Factoring Is
Two DirectionsThe Reverse GearUn-Distributing LettersThe Check Is MultiplicationRecap: First Factors4Minus Signs in the Machine
A Negative ProductWhich One Gets the MinusBoth NegativeThe Sign MapRecap: Signs7The Zero Product Rule
A Product That Makes ZeroOne Factor Is EnoughThe Bare XEvery Factor Gets a TurnRecap: Zero Product10The Quadratic Formula
The Formula, StatedThe Number Under the RootSplit the Plus-MinusIt Always WorksChoosing a MethodRecap: The Formula2The Greatest Common Factor
Number and Letter TogetherThe Largest OneHigher PowersThree Terms Share TooRecap: The GCF5Special Shapes
A Missing MiddleThe Shape in LettersThe Perfect SquareThe Minus VersionPrime PolynomialsRecap: Special Shapes3The Sum-Product Machine
Reading the ProductHunting the PairThe Machine in LettersLonger HuntsRecap: The Machine6Factor Completely
Two LayersSquares InsideCompletely Means CompletelyThe Deep CheckRecap: Factor Completely