See below for the explanation on how discriminant be used to determine the number of solutions
How can the discriminant be used to determine the number of solutions?
Let a trinomial in standard form be represented as
y = ax^2 + bx + c
The discriminant (d) is calculated as
d = b^2 - 4ac
The solutions are dependent on the following conditions
- If d = 0, the trinomial has 1 real solution
- If d < 0, the trinomial has imaginary solutions
- If d > 0, the trinomial has 2 different real solutions
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