Canonical URI: https://w3id.org/kmath/textbook_solution/donga_solution_body_p050_example_01
| rdf:type | math:TextbookSolution |
|---|---|
| rdfs:label | 동아 p050 예제 1 풀이 |
| rdfs:comment | 동아 공통수학1 본문 p050의 예제 1 풀이. |
| math:answerText | (1) \(-\frac{7}{4}\) (2) \(\frac{3}{4}\) |
| math:explanationText | 이차방정식의 근과 계수의 관계에 의하여 \(\alpha+\beta=\frac{3}{2},\ \alpha\beta=2\)이다. (1) \[ \alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta =\left(\frac{3}{2}\right)^2-2\times2=-\frac{7}{4} \] (2) \[ \frac{1}{\alpha}+\frac{1}{\beta} =\frac{\alpha+\beta}{\alpha\beta} =\frac{3}{2}\div2=\frac{3}{4}. \] |
| math:mappingConfidence | 1.0 |
| math:pageStart | 50 |
| math:problem | textbook_problem:donga_vision_p050_example_01 |
| math:reviewStatus | reviewed |
| math:solutionKind | worked_solution |
| math:usesSolutionPattern | solution_pattern:roots_coefficients_symmetric_expression |