Canonical URI: https://w3id.org/kmath/textbook_solution/donga_solution_body_p078_example_01
| rdf:type | math:TextbookSolution |
|---|---|
| rdfs:label | 동아 p078 예제 1 풀이 |
| rdfs:comment | 동아 공통수학1 본문 p078의 예제 1 풀이. |
| math:answerText | (1) \(x=2\) 또는 \(x=-1\pm\sqrt{3}i\) (2) \(x=\pm1\) 또는 \(x=\pm2\) |
| math:explanationText | (1) 좌변을 인수분해하면 \((x-2)(x^2+2x+4)=0\) \[ x-2=0 \quad\text{또는}\quad x^2+2x+4=0 \] 따라서 \(x=2\) 또는 \(x=-1\pm\sqrt{3}i\). (2) \(x^2=X\)로 놓으면 주어진 방정식은 \[ X^2-5X+4=0,\quad (X-1)(X-4)=0 \] \[ X=1 \quad\text{또는}\quad X=4,\quad 즉\quad x^2=1 \quad\text{또는}\quad x^2=4 \] 따라서 \(x=\pm1\) 또는 \(x=\pm2\). |
| math:mappingConfidence | 1.0 |
| math:pageStart | 78 |
| math:problem | textbook_problem:donga_vision_p078_example_01 |
| math:reviewStatus | reviewed |
| math:solutionKind | worked_solution |
| math:usesSolutionPattern | solution_pattern:quadratic_formula |
| math:usesSolutionPattern | solution_pattern:substitution_factorization |