Recognize Identities, Conditional Equations, and Inconsistent Equations
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
-$$\frac { 1 } { x + 5 } + \frac { 3 } { x + 4 } = \frac { - 1 } { x ^ { 2 } + 9 x + 20 }$$
A)Identity
B)Conditional equation
C)Inconsistent equation

Question

Quizplus · Accepted Answer

The equation is inconsistent because the left side simplifies to a common denominator of $(x+5)(x+4)$, which is the same as the denominator on the right side. However, the numerators do not match, leading to a contradiction.

Recognize Identities, Conditional Equations, and Inconsistent Equations Determine Whether the Equation

Recognize Identities, Conditional Equations, and Inconsistent Equations
Determine Whether the Equation