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Quadratic Discriminant
This one number can tell you whether the solutions to a quadratic equation are real or non-real, and whether they are distinct or repeated.
Excel in math and science
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It's hard to learn from lectures and videos
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Our wiki is made for math and science
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Concept Quizzes
How many intersection points are there between the two graphs of the functions \[y=2x^2-4x, y=3x+5?\]
Excel in math and science
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by Brilliant Staff
If real numbers \(x\) and \(y\) satisfy the equation \[x^2+y^2-2x-14y+50=0,\] what is the value of \(x+y\)?
Excel in math and science
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Consider two sets \[\begin{align} & A=\{(x,y) \mid y=x^2-2x+35\}, \\ & B=\{(x,y) \mid y=2kx-1\}. \end{align} \] How many integers \(k\) satisfy \(A \cap B=\emptyset\)?
Excel in math and science
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Find the values of \(b\) such that \(y=bx\) is a secant line to the curve \(y=2x^2-b\).
Excel in math and science
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Consider the graphs of \[y=x^2+ax-5, y=2x-6.\] If they intersect at only one point, what is the value of the positive number \(a\)?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
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by Brilliant Staff