SOLUTION: Please help. Find the vertex and the roots. Based upon the discriminant, describe the roots. {{{ x^2-2x+5=0 }}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help. Find the vertex and the roots. Based upon the discriminant, describe the roots. {{{ x^2-2x+5=0 }}}      Log On


   

Question 383885: Please help. Find the vertex and the roots. Based upon the discriminant, describe the roots. +x%5E2-2x%2B5=0+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex and the roots. Based upon the discriminant, describe the roots. +x%5E2-2x%2B5=0+
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The line of symmetry is x = -b/2a = 4/2 = 2
The vertex is (2,f(2)) = (2,5)
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Disc = b^2 - 4ac = 4 - 4*1*5 = -16
The roots are complex.
x = (2 ± sqrt(-16) )/2
x = 1 ± 2i