Math  /  Algebra

QuestionCompute the value of the discriminant and give the number of real solutions of the quadratic equation. 2x2+6x9=0-2 x^{2}+6 x-9=0
Discriminant:
Number of real solutions:

Studdy Solution
Determine the number of real solutions based on the value of the discriminant.
- If the discriminant is positive, there are two distinct real solutions. - If the discriminant is zero, there is exactly one real solution. - If the discriminant is negative, there are no real solutions.
Since the discriminant is 36-36, which is negative, there are no real solutions.
The value of the discriminant is 36 \boxed{-36} .
The number of real solutions is 0 \boxed{0} .

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