Nature of roots from discriminant (D>0: two distinct real; D=0: repeated real; D<0: conjugate non-real)
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D>0: two distinct real; D=0: repeated real; D<0: conjugate non-real (real coeffs)
What each symbol means
| Symbol | What it stands for |
|---|---|
| D | Discriminant |
| a,b,c | Real coefficients, a≠0 |
When to use this
ax²+bx+c=0 with real a,b,c and a≠0.