Question
Suppose that the equation $a x^{2}+b x+c=0$ has real coefficients and complex roots. Why must the roots be complex conjugates of each other? [Hint:Think about how you would find the roots using the Quadratic Formula.]
Step 1
Step 1: The roots of the quadratic equation $ax^{2}+bx+c=0$ can be found using the quadratic formula, which is given by: \[x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}\] Show more…
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