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Therefore, the solution = is extraneous and not valid, and the original equation has no solution. For this specific example, it could be recognized that (for the value x = − 2 {\displaystyle x=-2} ), the operation of multiplying by ( x − 2 ) ( x + 2 ) {\displaystyle (x-2)(x+2)} would be a multiplication by zero.
When seeking a solution, one or more variables are designated as unknowns. A solution is an assignment of values to the unknown variables that makes the equality in the equation true. In other words, a solution is a value or a collection of values (one for each unknown) such that, when substituted for the unknowns, the equation becomes an equality.
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The first use of an equals sign, equivalent to 14x + 15 = 71 in modern notation. From The Whetstone of Witte by Robert Recorde of Wales (1557). [1]In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.
5 Extraneous solutions in applied problems. 1 comment. 6 Example with the imaginary unit, i. 1 comment. Toggle the table of contents. Talk: Extraneous and missing ...
The electric vehicle market could get a huge influx of cheaper cars — but not fresh from the factory. In its latest EV intelligence report, consumer research firm J.D. Power projects that a ...
1. Tennis Ball. Tennis balls are so useful that you may want to buy some to keep around the house even if you don’t play. For example, half a tennis ball can help screw open tight caps.
This procedure gives extraneous solutions, but when the correct ones have been found by numerical means, the roots of the quintic can be written in terms of square roots, cube roots, and the Bring radical, which is therefore an algebraic solution in terms of algebraic functions (defined broadly to include Bring radicals) of a single variable ...