Complex Numbers: No Real Solutions Vocabulary

Vocabulary flashcards covering fundamental definitions, solutions, and graphical characteristics for equations with real and no real solutions.

Real number

Any number that can be expressed on a number line that spans from negative infinity to positive infinity.

Solution

A value that replaced a variable that makes an equation true.

Real solution

A condition for an equation where there must be a real number that makes the value of the equation equal to zero.

Non-horizontal linear equations

Linear equations that are not horizontal lines, all of which have one intersection point with the x-axis, or one solution (such as $y = 3x - 3$ intersecting the x-axis at $(1, 0)$).

Graph with no real solution

A graph of an equation where there is no point of intersection between the curve itself and the x-axis.