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Figure 1. Plots of quadratic function y = ax 2 + bx + c, varying each coefficient separately while the other coefficients are fixed (at values a = 1, b = 0, c = 0). A quadratic equation whose coefficients are real numbers can have either zero, one, or two distinct real-valued solutions, also called roots.
The Postsecondary Education Readiness Test (PERT) is a computer adaptive test which measures a student's level of preparedness for college-level courses. The test is currently being used by all Florida high schools and the 28 members of the Florida College System. The PERT was created by McCann Associates in cooperation with Florida educators.
Following the model of the Lucas–Lehmer test, put u i = a 2 i + a −2 i, and by induction we have u i = u 2 i−1 − 2. So we can consider ourselves as looking at the 2 i th term of the sequence v(i) = a i + a i. If a satisfies a quadratic equation, then this is a Lucas sequence, and has an expression of the form v(i) = α v(i−1) + β v(i ...
Unlike the computer adaptive test before August 2011, the GRE General Test is a multistage test, where the examinee's performance on earlier sections determines the difficulty of subsequent sections, using a technique known as computer-adaptive testing. This format allows the examined person to freely move back and forth between questions ...
All quadratic equations have exactly two solutions in complex numbers (but they may be equal to each other), a category that includes real numbers, imaginary numbers, and sums of real and imaginary numbers. Complex numbers first arise in the teaching of quadratic equations and the quadratic formula. For example, the quadratic equation
If a quadratic function is equated with zero, then the result is a quadratic equation. The solutions of a quadratic equation are the zeros (or roots) of the corresponding quadratic function, of which there can be two, one, or zero. The solutions are described by the quadratic formula. A quadratic polynomial or quadratic function can involve ...
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