Find an explicit rule for the nth term of the sequence.
2 answers:
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Given:
The quadratic equation is:
To find:
The discriminant of the given equation and the number of real solutions.
Solution:
If a quadratic equation is , then the value of discriminant is:
If D<0, then the quadratic equation has no real roots or two imaginary roots.
If D=0, then the quadratic equation has two equal real roots.
If D>0, then the quadratic equation has two distinct real roots.
We have,
Here, . So, the discriminant of the given equation is:
Since D<0, therefore the number of real solutions is 0.
Hence, the value of the discriminant is -31 and the number of real solutions is 0.