Q18 of 293 Page 460

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

x2 – (√3 + 1) x + √3 = 0

Given:

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


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