IDNStudy.com, ang iyong mapagkukunan para sa malinaw at maaasahang mga sagot. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

at least 5 examples of finding the quadratic equations given the roots , or given the sum and the product of the roots.

Sagot :

Given the roots, the equation is:
     x² - (sum of the roots)x + (product of roots) = 0

Example 1:  roots 3 and -5
    x² - (3 + -5)x + (3)(-5) = 0
   x² - (-2)x + (-15) = 0
  Equation:  x² + 2x - 15 = 0

Example 2:  roots -4, -1
   x² - (-4 + -1)x + (-4) (-1) = 0
   x² - (-5)x + (4) = 0
   x² + 5x + 4 = 0

Example 3:  roots √2, -√2
  x² - (√2 +  -√2)x + (√2) (-√2) = 0
  x² -  0x + (- √4) = 0
  x² + (-2) = 0
  x² - 2 = 0

You can do the next two examples.  Try the roots 4 and 7;  5 and 2
You can do it :-)