Quadratic Equations — Flashcards
Jammu & Kashmir Board · Class 10 · Mathematics
50 flashcards for Quadratic Equations (Jammu & Kashmir Board Class 10 Mathematics) to test yourself on key terms and facts.
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Solve by factorisation: 2x^2 - 5x + 3 = 0
Answer
Step 1: Split the middle term: 2x^2 - 5x + 3 = 2x^2 - 2x - 3x + 3. Step 2: Group terms: = 2x(x - 1) - 3(x - 1). Step 3: Factorise: = (2x - 3)(x - 1). Step 4: Set each factor to zero: 2x - 3 = 0 or x -…
गुणनखंडन द्वारा हल करें: 2x^2 - 5x + 3 = 0
Answer
चरण 1: मध्य पद को बाँटें: 2x^2 - 5x + 3 = 2x^2 - 2x - 3x + 3. चरण 2: पदों को समूहित करें: = 2x(x - 1) - 3(x - 1). चरण 3: गुणनखंडन करें: = (2x - 3)(x - 1). चरण 4: प्रत्येक गुणनखंड को शून्य के बराबर रखे…
Solve by factorisation: 6x^2 - x - 2 = 0
Answer
Step 1: Split the middle term: 6x^2 - x - 2 = 6x^2 + 3x - 4x - 2. Step 2: Group terms: = 3x(2x + 1) - 2(2x + 1). Step 3: Factorise: = (3x - 2)(2x + 1). Step 4: Set each factor to zero: 3x - 2 = 0 or 2…
गुणनखंडन द्वारा हल करें: 6x^2 - x - 2 = 0
Answer
चरण 1: मध्य पद को बाँटें: 6x^2 - x - 2 = 6x^2 + 3x - 4x - 2. चरण 2: पदों को समूहित करें: = 3x(2x + 1) - 2(2x + 1). चरण 3: गुणनखंडन करें: = (3x - 2)(2x + 1). चरण 4: प्रत्येक गुणनखंड को शून्य के बराबर र…
Find the roots of: 2x^2 - 3x + 1 = 0
Answer
Step 1: Factorise the quadratic. 2x^2 - 3x + 1 = 2x^2 - 2x - x + 1. Step 2: Group terms. = 2x(x - 1) - 1(x - 1). Step 3: Factorise. = (2x - 1)(x - 1). Step 4: Set each factor to zero. 2x - 1 = 0 or x …
के मूल ज्ञात करें: 2x^2 - 3x + 1 = 0
Answer
चरण 1: द्विघात का गुणनखंडन करें। 2x^2 - 3x + 1 = 2x^2 - 2x - x + 1. चरण 2: पदों को समूहित करें। = 2x(x - 1) - 1(x - 1). चरण 3: गुणनखंडन करें। = (2x - 1)(x - 1). चरण 4: प्रत्येक गुणनखंड को शून्य के बरा…
Solve: 3x^2 - 2√6 x + 2 = 0
Answer
Step 1: Factorise the expression. 3x^2 - 2√6 x + 2 = 3x^2 - √6 x - √6 x + 2. Step 2: Group terms. = √3x(√3x - √2) - √2(√3x - √2). Step 3: Factorise. = (√3x - √2)(√3x - √2). Step 4: Set the factor to z…
हल करें: 3x^2 - 2√6 x + 2 = 0
Answer
चरण 1: व्यंजक का गुणनखंडन करें। 3x^2 - 2√6 x + 2 = 3x^2 - √6 x - √6 x + 2. चरण 2: पदों को समूहित करें। = √3x(√3x - √2) - √2(√3x - √2). चरण 3: गुणनखंडन करें। = (√3x - √2)(√3x - √2). चरण 4: गुणनखंड को श…
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