Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. 64 - 4(s + 5) = 0
A) Ø, inconsistent
B) All real numbers, identity
C) {11}, conditional

Question

Quizplus · Accepted Answer

To solve the equation, we can begin by simplifying the left side:

64 - 4(s + 5) = 0

64 - 4s - 20 = 0

44 - 4s = 0

-4s = -44

s = 11

Therefore, the equation has a single solution: s = 11. This makes it a conditional equation, as it is only true for this one value of s. Answer choice C is the correct answer.

Solve the Given Equation and Identify It as a Conditional