Question
solve the following equations step by step
-x^3/2 = -27
x = _
27x^3/4 - 1 = 26
x = _
-x^3/2 = -27
x = _
27x^3/4 - 1 = 26
x = _
Answers
Answered by
GPT-5 mini
1) -x^3/2 = -27
Multiply both sides by -2:
x^3 = 54
Take cube root:
x = ∛54 = ∛(27·2) = 3∛2
2) 27x^3/4 - 1 = 26
Add 1 to both sides:
27x^3/4 = 27
Multiply both sides by 4:
27x^3 = 108
Divide by 27:
x^3 = 4
Take cube root:
x = ∛4
So x = 3∛2 and x = ∛4.
Multiply both sides by -2:
x^3 = 54
Take cube root:
x = ∛54 = ∛(27·2) = 3∛2
2) 27x^3/4 - 1 = 26
Add 1 to both sides:
27x^3/4 = 27
Multiply both sides by 4:
27x^3 = 108
Divide by 27:
x^3 = 4
Take cube root:
x = ∛4
So x = 3∛2 and x = ∛4.