Example 13 - Find roots using quadratic formula (i) 3x2 - Solving by quadratic formula - Equation given

Example 13 - Chapter 4 Class 10 Quadratic Equations - Part 2

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Example 13 Find the roots of the following quadratic equations, if they exist, using the quadratic formula: (i) 3x2 5x + 2 = 0 3x2 5x + 2 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = 5, c = 2 We know that, D = b2 4ac D = ( 5)2 4 (3) (2) D = 25 24 D = 1 So, the roots of the equation is given by x = ( )/2 Putting values x = ( ( 5) 1)/(2 3) x = (5 1)/6 Solving Hence, the roots of the equation are 1 and 2/3 .

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