Math  /  Algebra

QuestionFind the discriminant and then determine how many of each types of solutions there are. 9x2+21x+10=09 x^{2}+21 x+10=0
Discriminant: \square How many rational solutions are there? \square How many irrational solutions are there? \square How many imaginary solutions are there? \square

Studdy Solution
Determine the number and type of solutions based on the discriminant Δ=81 \Delta = 81 :
- Since Δ=81>0 \Delta = 81 > 0 and 81 is a perfect square, there are two distinct rational solutions.
Discriminant: 81 \boxed{81}
How many rational solutions are there? 2 \boxed{2}
How many irrational solutions are there? 0 \boxed{0}
How many imaginary solutions are there? 0 \boxed{0}

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