Question

Solve the equations using inverse operations. Check your solutions. In your final answer, include all of your work. 2x^2+5 = 13 , 2x^3-13 = 5

Answer 1

Explanation:

`2x^2+5=13`

`2x^2+5 -5=13 -5 \rightarrow 2x^2=8`

`2x^2 / 2=8 / 2 \rightarrow x^2=4`

`(x^2)^(1)/(2) =4^(1)/(2) \rightarrow x=\pm2`

Solution:
`x=\pm 2`

`2x^3-13 = 5`

`2x^3-13 +13= 5+13 \rightarrow 2x^3=18`

`2x^3 /2=18/ 2 \rightarrow x^3=9`

`(x^3)^(1)/(3) = 9^(1)/(3) \rightarrow x=9^(1)/(3)`

Solution:
`x=9^(1)/(3)`

NOTE: I assume you can substitute answers in to check.