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How Do You Find The Discriminant of a Quadratic Equation With 2 Solutions?

Find the Discriminant of x2 + 12x + 32 = 0

Summary

  1. The Discriminant Formula is based on assuming that your quadratic is equal to 0, and in 'Standard Form' (ax2
  2. 'a' is the coefficient of the x2 term, 'b' is the coefficient of the 'x' term, and c is the constant term
  3. The Quadratic Formula gives you the solutions to a quadratic equation in terms of 'a', 'b', and 'c'
  4. The discriminant (b2-4ac) is under the radical in the Quadratic Equation!

Notes

    1. The Discriminant Formula is based on assuming that your quadratic is set to 0, and in standard form (ax2
    1. The Discriminant Formula is based on assuming that your quadratic is equal to 0, and in 'Standard Form' (ax2
    2. 'a' is the coefficient of the x2 term, 'b' is the coefficient of the 'x' term, and c is the constant term
    3. To get 'a', 'b' and 'c', match up x2+12x+32=0 to ax2+bx+c=0
    1. The discriminant is under the radical in the Quadratic Formula!
    1. 'a', 'b' and 'c' are the coefficients we got from matching the given equation to ax2+bx+c=0, which is the 'Standard Form' for a quadratic
    2. The discriminant is 'b2-4ac'
    3. Plugging a=1, b=12, and c=32 into the Discriminant gives us '122-4(1)(32)'