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

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