Multiple choice

For a quadratic equation with rational coefficients, roots are rational and distinct. If 70 ≤ discriminant <100, Find out discriminant.

  1. 75

  2. 81

  3. 96

  4. 92
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B Correct answer
Explanation

For a quadratic with rational coefficients, if roots are rational, the discriminant must be a perfect square. The only perfect square between 70 and 100 is 81.

AI explanation

For a quadratic equation with rational coefficients to have rational and distinct roots, its discriminant must be a perfect square. Among the given options, only 81 is a perfect square and falls within the given range of 70 to 100. Therefore, the discriminant is 81.

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