방정식 문제
이차방정식과 기타 방정식을 단계별로 풀이.
단계별로 푸는 일차방정식과 이차방정식 문제를 다루며, 판별식 읽는 법과 대입으로 해를 확인하는 법도 포함합니다.
시작하기: 방정식
방정식 예제 문제
아래 예제 문제는 현재 영어로만 제공됩니다.
1. Solve: x^2 + 10x + 16 = 0+
답: x = -2 or x = -8
Step 1: Look for two numbers that multiply to 16 and add to 10: -2 and -8. Step 2: Factor: (x + 2)(x + 8) = 0. Step 3: Each factor can equal zero, so x = -2 or x = -8.
2. Solve: x^2 - 6x + 5 = 0+
답: x = 5 or x = 1
Step 1: Look for two numbers that multiply to 5 and add to -6: 5 and 1. Step 2: Factor: (x - 5)(x - 1) = 0. Step 3: Each factor can equal zero, so x = 5 or x = 1.
3. Solve: x^2 - 2x - 63 = 0+
답: x = -7 or x = 9
Step 1: Look for two numbers that multiply to -63 and add to -2: -7 and 9. Step 2: Factor: (x + 7)(x - 9) = 0. Step 3: Each factor can equal zero, so x = -7 or x = 9.
4. Solve: x^2 - 14x + 49 = 0+
답: x = 7
Step 1: Look for two numbers that multiply to 49 and add to -14: 7 and 7. Step 2: Factor: (x - 7)(x - 7) = 0. Step 3: Each factor can equal zero, so x = 7.
5. Solve: x^2 + 10x + 24 = 0+
답: x = -4 or x = -6
Step 1: Look for two numbers that multiply to 24 and add to 10: -4 and -6. Step 2: Factor: (x + 4)(x + 6) = 0. Step 3: Each factor can equal zero, so x = -4 or x = -6.
6. Solve: x^2 + 2x - 8 = 0+
답: x = -4 or x = 2
Step 1: Look for two numbers that multiply to -8 and add to 2: -4 and 2. Step 2: Factor: (x + 4)(x - 2) = 0. Step 3: Each factor can equal zero, so x = -4 or x = 2.