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Find the descriminant of x^2-7x+2=0 and describe the natural roots

Friday, July 23rd, 2010

Solution:

  1. When you have an equation in the form of ax2 + =x + c = 0, the solution is x = where  D = b2 – 4ac
  2. D stands for discriminant, and values of x are the natural roots
  • If D > 0, then the values of x are real and distinct.
  • If D = 0, then the values of x are real and equal
  • If D < 0, then the values of x are unreal
  1. In your question, x2 – 7x + 2 = 0, so the values of a, b and c are as follows:
  • a = 1
  • b = -7
  • c = 2
  1. D = b2 – 4ac = 49 – 8 = 41 (this is the value of the discriminant)
  2. Since D > 0, then the values of x (the natural roots) are real and distinct

This entry was posted on Friday, July 23rd, 2010 at 3:23 am and is filed under 11th Grade, Algebra Homework, Homework Answers, Trignometry. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

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