what is the value of aα^2 + bα + c when α is a root of the equation ax2 + bx + c =0, a ≠ 0?
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If aα2 + bα + c = 0 then α is called a root of the quadratic equation ax2 + bx + c = 0. If aα2 + bα + c = 0 then we say x = α satisfies the equation ax2 + bx + c = 0 and x = α is a solution. Thus, every solution is root.
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