Solving Rational Equations with Unlike Denominators - Concept

Concept Concept (1)

When graphing radical equations using shifts, adding or subtracting a constant that is not in the radical will shift the graph up (adding) or down (subtracting). Adding or subtracting a constant that is in the radical will shift the graph left (adding) or right (subtracting). Multiplying a negative constant by the equation will reflect the graph over the x-axis. Multiplying by a number larger than one increases the y-values.

Sample Sample Problems (4)

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Solving Rational Equations with Unlike Denominators - Problem 1

Solve:

x + 3 = x + 2
x + 1 x − 2
Problem 1
How to solve rational equations that are proportions.
Solving Rational Equations with Unlike Denominators - Problem 2

Solve:

3x = 5 + 6
x − 2 x − 2
Problem 2
How to solve rational equations where a rational expression is added to a constant.
Solving Rational Equations with Unlike Denominators - Problem 3

Solve:

x + 2 x + 7 = 0
3 x + 3
Problem 3
How to solve rational equations when there are unlike denominators.
Solving Rational Equations with Unlike Denominators - Problem 4

Solve:

x + x + 2 = -4x
3x + 2 2x − 3 6x² − 5x − 6
Problem 4
How to solve rational equations when the common denominator has three factors.