Question

Solve the equations in Parts A and B using inverse operations. Check your solutions. In your final answer, include all of your work.

Part A:

`2x^2+5=13`

Part B:

`2x^(3) - 13 = 5`

Answer 1

A) ±2

B) 2.08

Explanation:

A) Given the equation

2x² + 5 = 13

Add the additive inverse of 5 to both sides

2x² + 5 + (-5) = 13 + (-5)

2x² + 5 - 5 = 13 - 5

2x² = 8

x² = 4

x= ±√4

x = ±2

Hence the value of x is ±2

b) 2x³-13 = 5

Add the additive inverse of -13 to both sides

2x³-13 + 13 = 5 +13

2x³ = 18

x³ = 18/2

x³ = 9

x = ∛9

x= 2.08

Hence the value of x is 2.08