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How to solve a quadratic equation in rationals - Masser - 1998 () Citation Context ...t inequality follows by (26). � Notice that Corollary 3.3 suggests that in this context the singular case can be simpler than the nonsingular one. This unusual phenomenon has already been observed in ...
Which criteria is required for a problem to be a quadratic inequality? A quadratic must remain after all terms have been moved to one side of the equation. Both sides of the inequality must be a quadratic expression. A zero must be present on one side of the inequality. Each side must ...
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In Section 3.1, we saw that a first-degree equation in one variable has only one solution. But a first-degree inequality has an infinite number of solutions. For example, the graphs of the infinite number of integer solutions of the inequality x > 3 are shown in Figure 3.1. ...
In summary, to solve the given equation algebraically, one could replace sin(x) with a variable y and solve the resulting quadratic equation for y. Then, the solutions for y could be plugged back into sin(x) to obtain two goniometric equations that can be easily solved. Alternatively, one...
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How do we solve quadratic inequalities? Do Now: What is the difference between an equation and an inequality?What are we trying to find when we solve inequalities? We are trying to find the values of x that make the inequality true. If we are trying to solve the inequality x2-x-6<0...