The roots of a quadratic equation are the values of the variable (usually x) that make the equation true.
Provide the complete solutions of the above question with description. NCERT Solutions for Class 10th Maths Chapter 4 EXERCISE 4.3 Important Questions No:1 Part (iii).
Find the roots of the following quadratic equations, if they exist, by the method of completing the square: 4x² + 4√3x + 3 = 0
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4x² + 4√3x + 3 = 0
For the quadratic equation 4x² + 4√3x + 3 = 0, we have a = 2, b = 1, and c = 4.
Therefore, b² – 4ac = (4√3)² – 4 × 4 × 3 = 48 – 48 = 0
Hence, x = (-4√3±√0)/8 = -4√3/8 = – √3/2 [As, x = (-b±√b²-4ac)/2a]
or x = -√3/2
Hence, the roots of quadratic equation are – √3/2 and – √3/2.