Understanding Algebra

James W. Brennan
 

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Solving by Square Roots

No First-Degree Term

If the quadratic has no linear, or first-degree term (i.e. b = 0), then it can be solved by isolating the x2 and taking square roots of both sides:

  • You need both the positive and negative roots because , so x could be either positive or negative.
  • This is only going to give a real solution if either a or c is negative (but not both)
 
      

 


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James W. Brennan