anonymous
  • anonymous
Using complete sentences, explain what the discriminant is and what it tells you about the solutions of a quadratic equation. Provide a unique example to back up your explanation, please help
Mathematics
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anonymous
  • anonymous
Using complete sentences, explain what the discriminant is and what it tells you about the solutions of a quadratic equation. Provide a unique example to back up your explanation, please help
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Let the discriminant by denoted by D. \[D:=b2−4ac\] Which corresponds to the general quadratic equation: \[ax2+bx+c=0\] where a,b and c are real numbers. Recall that the solutions of this general quadratic equation are given by \[x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\] If \[b2−4ac<0\] then the quadratic has no real solutions (actually, has two complex conjugate pairs. If \[b2−4ac=0\] then the quadratic has one distinct (i.e. one and only one) real solution, i.e.\[x \in \mathbb{R}\] If \[b^2-4ac >0\] then the quadratic has two distinct real solutions.

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