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Can you solve all quadratic equations?
NO!!!! On a graph a quadratic equation becomes a parabolic curve. If this curve intersects the x-axis in two places. then there are two different answers. If the curve just touches the x-axix on one place then there are two answers which both have the same valuer. If the curve does NOT touch the x-axis the there are NO solutions.
Where do you find the solutions to a quadratic equation on a graph?
The solutions to a quadratic equation on a graph are the two points that cross the x-axis. NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution. If the quadratic curve just touches the x-axis , there is only ONE solution. It the quadratic curve does NOT touch the x-axis , then there are NO solutions. NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve. Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.
How do you find the area between a given curve and x-axis?
Take the definite integral (and your bounds should be the two places where the curve crosses the x-axis).
Why not every line has both an x- and a y- intercept?
Some lines does not touch the x-axis or y-axis. For example, when the equation of line is y=1, the line never touches the y-axis [coordinates on the line would be (_,1)]. Equations such as y=1/x will not touch both axis.
The point at which a curve intersects a coordinate axis?
It is called an intercept.
