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Quadratic Equations

SHS

Algebra

Concept

Solve factorable quadratics and identify their roots.

Walkthrough

Solve (x − 2)(x − 3) = 0.

  1. 1.Recall the zero product property: if a product of factors equals zero, at least one factor must be zero.
  2. 2.Set each factor equal to zero: x − 2 = 0 or x − 3 = 0.
  3. 3.Solve the first equation: x − 2 = 0 → x = 2.
  4. 4.Solve the second equation: x − 3 = 0 → x = 3.
  5. 5.So the roots are x = 2 or x = 3.

Answer

3

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