Question

If 2^3 + 3^3 + a^3 = 18a, then a =? :
a. -3
b. -5
c. -2
d. 0

PLEASE SHOW THE VERIFICATION PROCESS STEP-BY-STEP.​

Answer 1

Answer:

a = -5

Step-by-step explanation:

Since we are given a limited number of options, we can use trial and error method.

If a = -3

2³ + 3³ + (-3)³ = 18(-3)

8 + 27 - 27 = -54

8 ≠ -54

If a = -5

2³ + 3³ + (-5)³ = 18(-5)

8 + 27 - 125 = -90

35 - 125 = -90

-90 = -90

Therefore, LHS = RHS

So, a = -5, Verified