What is the solution for the equation 5/3b^3-2b-5=2/b3-2

A. b= -4 and b= 0
B. b= -4
C. b= 0 and b= 4
D. b= 4

Respuesta :

Answer:

Option C is correct.

Step-by-step explanation:

Given Equation:

[tex]\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}[/tex]

To find: Solution of the Equation.

Consider,

[tex]5(b^3-2)=2(3b^3-2b^2-5)[/tex]

[tex]5b^3-10=6b^3-4b^2-10[/tex]

[tex]6b^3-5b^3-4b^2+10-10=0[/tex]

[tex]b^3-4b^2=0[/tex]

[tex]b^2(b-4)=0[/tex]

b² = 0   ⇒ b = 0

b - 4 = 0 ⇒ b = 4

Therefore, Option C is correct.

Answer:

c

Step-by-step explanation: