Asked by dfj
The solutions to the second example were ___________.
Responses
A rationalrational
B irrational
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the “second example” you mean. Please paste the example (equation or expression) and I’ll pick A or B and show why.
If it’s a quadratic ax^2+bx+c with rational coefficients, here’s the quick test:
- Compute the discriminant D = b^2 − 4ac.
- If D is a nonnegative perfect square (of a rational), the roots are rational (A).
- If D is nonnegative but not a perfect square, the roots are irrational (B).
- If D < 0 the roots are complex (neither rational nor irrational in the real-number sense).
Give the example and I’ll determine which choice is correct.
If it’s a quadratic ax^2+bx+c with rational coefficients, here’s the quick test:
- Compute the discriminant D = b^2 − 4ac.
- If D is a nonnegative perfect square (of a rational), the roots are rational (A).
- If D is nonnegative but not a perfect square, the roots are irrational (B).
- If D < 0 the roots are complex (neither rational nor irrational in the real-number sense).
Give the example and I’ll determine which choice is correct.
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