brandonl11999 brandonl11999
  • 17-01-2018
  • Mathematics
contestada

A quadratic equation with real coefficients and leading coefficient 1, has x equals - b ⁢ i as a root. Write the equation in general form.

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altavistard
altavistard altavistard
  • 17-01-2018
p(x) = 1x^2 + bx + c

If -bi is a root, then +bi is the other root.

Thus, p(x) = (x+bi)(x-bi) = 1x^2 + b^2


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