方程式 問題
二次方程式やその他の方程式を、ステップごとに解いていきます。
一次方程式と二次方程式の問題を手順付きで解く方法をカバーし、判別式の読み方や代入による解の確認方法も含みます。
はじめる： 方程式
方程式の例題
以下の例題は現在、英語のみで提供されています。
1. Solve: x^2 + 10x + 16 = 0+
答え: 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+
答え: 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+
答え: 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+
答え: 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+
答え: 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+
答え: 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.