anonymous
  • anonymous
What is the value of the discriminant of 2x2 + 3x – 14 = 0?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
The discriminant of a quadratic is going to be b^2-4ac where the quadratic is noted as ax^2+bx+x=0
anonymous
  • anonymous
correct that previous message; It should be ax^2+bx+c = 0
anonymous
  • anonymous
So, in this case, a=2, b=3, and c=-14. Therefore, the discriminant is 3^2-4*2*(-14) = 9+104 = 113

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anonymous
  • anonymous
The important thing to note is that if the discriminant is negative, then there is no real solution to the quadratic. This can be inferred from the quadratic formula where x = (-b +/- sqrt(b^2-4ac))/(2a)

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