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The roots of the quadratic function y = 1 / 2 x 2 − 3x + 5 / 2 are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
For example, 3x 2 − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power 1 / 2 , the following is also an algebraic expression: + See also: Algebraic equation and Algebraic closure
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
The initial proposal to reform the law used the slogan “They’re girls, not wives” and aimed to prevent young girls from being forced to marry.
A food company known for popular grocery store condiments has recalled a package of tortilla strips that may be contaminated with wheat, the U.S. Food and Drug Administration said Friday.
[12] An equation can be used to define a set. For example, the set of all solution pairs ( x , y ) {\displaystyle (x,y)} of the equation x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} forms the unit circle in analytic geometry ; therefore, this equation is called the equation of the unit circle .
This mom was determined not to restrict herself, so she ate the foods she loved in moderation, stuck to a calorie goal, and started daily walks with her kids.
For example, y = x 2 fails the horizontal line test: it fails to be one-to-one. The inverse is the algebraic "function" x = ± y {\displaystyle x=\pm {\sqrt {y}}} . Another way to understand this, is that the set of branches of the polynomial equation defining our algebraic function is the graph of an algebraic curve .