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

2x2 – 2√2x + 1 = 0

Given:

Comparing with standard quadratic equation ax2 + bx + c = 0



Discriminant D = b2 – 4ac


=


= 8 – 8 = 0


Hence the roots of equation are real.


Roots are given by





Hence these are the repeated roots of the equation


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