what are the roots of the equation: 2x^2-5x+1=0

Expert Answers

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Given the quadratic equation:

2x^2 - 5x + 1 = 0

We will use the quadratic formula to find the roots.

==> x = [ -b +- sqrt(b^2 - 4ac)]/2a

==> a = 2    b= -5      c = 1

==> x1= [ 5 + sqrt(25-8)]/ 4 = [ 5+ sqrt17]/4

==> x2= (5-sqrt17)/4

Then the roots are:

x = { (5+sqrt17)/4   ,    (5-sqrt17)/4 }

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