समीकरण प्रश्न
द्विघात और अन्य समीकरण, चरण-दर-चरण हल किए गए।
चरणों के साथ हल किए गए रैखिक समीकरण और द्विघात समीकरण समस्याओं को कवर करता है, जिसमें विविक्तकर कैसे पढ़ें और प्रतिस्थापन द्वारा हल की जांच कैसे करें शामिल है।
शुरू करें: समीकरण
नमूना समीकरण प्रश्न
नीचे दिए गए नमूना प्रश्न फ़िलहाल केवल अंग्रेज़ी में हैं।
1. Solve: x^2 + 10x + 16 = 0+
उत्तर: 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+
उत्तर: 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+
उत्तर: 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+
उत्तर: 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+
उत्तर: 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+
उत्तर: 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.