Question 7 (i) - Examples - Chapter 4 Class 10 Quadratic Equations

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Example 14 - Find roots (i) x + 1/x = 3 (ii) 1/x - Examples

Example 14 - Chapter 4 Class 10 Quadratic Equations - Part 2

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Example 14 Find the roots of the following equations: (i) x + 1/š‘„=3,š‘„ā‰ 0 x + 1/š‘„=3 (š‘„ (š‘„) + 1)/š‘„=3 (š‘„2 + 1)/š‘„=3 x2 + 1 = 3x x2 ā€“ 3x + 1 = 0 We will factorize by quadratic formula Comparing equation with ax2 + bx + c = 0 Here, a = 1, b = ā€“3, c = 1 We know that D = b2 ā€“ 4ac D = (ā€“3)2 ā€“ 4 (1) (1) D = 9 ā€“ 4 D = 5 So, the roots of the equation is given by x = (āˆ’ š‘ Ā± āˆšš·)/2š‘Ž Putting values x = (āˆ’ (āˆ’3) Ā± āˆš5)/(2 Ɨ 1) x = (3 Ā± āˆš5)/2 Hence, the roots of the equation are (3 + āˆš5)/2 & (3 āˆ’ āˆš5)/2 ,

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