Algebra › Section I · Quadratic equations and functions › Topic I.1

The square root property

The friendliest quadratic has no x-term at all - just a squared quantity equal to a number. Undoing a square takes one move, but the move has a twin clause: every positive number has two square roots, and the equation wants both.

In this topic

  • The property
  • Why the negative root vanishes
  • The four-step routine
  • Worked example: an irrational answer
  • Worked example: clearing a coefficient first
  • Worked example: a binomial squared
  • The three outcomes
  • Worked example: a geometric application
  • Common mistakes to avoid
  • Key takeaways

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