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Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
x2 – (√3 + 1) x + √3 = 0
Comparing with standard quadratic equation ax2 + bx + c = 0
Discriminant D = b2 – 4ac
Using a2 – 2ab + b2 = (a – b)2
Thus the roots of given equation are real.
Roots are given by
Hence the roots of equation are