Rational Equations
1/6k^2= 1/3k^2 - 1/k
check for extraneous solutions.
1/6
Define the term: Rational Equation
An equation that contains one or more rational expressions
x^2+5x+6=
(x+2) (x+3)
n/8 + 3n/8 =
n/2
When graphed, a quadratic equation creates a U-shaped curve called a ...
parabola
1/6b^2 + 1/6b = 1/b^2
check for extraneous solutions.
5
Define the term: Polynomial
An expression that consists of variables and coefficients and only use multiplication, addition, and subtraction.
x^2-4x-5=
(x-5) (x+1)
7u/16 - 5u/16 =
u/8
When the VERTEX is at its lowest point it is called a ...
minimum
1/x = 6/5x + 1
check for extraneous solutions.
-1/5
Define the term: Domain
The set of all possible values of the variable that make the rational expression
x^2+7x+10=
(x+2) (x+5)
1/3x + 5/3x =
2/x
When the VERTEX is at its highest point it is called a ...
maximum
1/n-8 - 1 = 7/n-8
Define the term: Rational Expression
An expression that can be written as a ratio of two polynomials
2x^2-5x-3=
(2x+1) (x-3)
7ab/10a^2b - 3ab/10a^2b
2/5a
positive
1/6x^2 = 1/2x +7/6x^2
-2
Define the term: Inverse Variation
A relationship between two variables in which the product of the variables is a constant
6x^2+11x-10
(2x+5) (3x-2)
w+9 /10 + w+7 / 10 =
w+8 / 5
standard form of quadratic equation:
y=ax^2+bx+c