Question
Solve for x. Express your answer as an integer or integers or in simplest radical form.
−42=8−2 x cubed
−42=8−2 x cubed
Answers
GPT 3.5
To solve for x, we first need to isolate the variable by simplifying the equation.
-42 = 8 - 2x^3
Subtract 8 from both sides:
-42 - 8 = -2x^3
-50 = -2x^3
Now, divide both sides by -2 to isolate x^3:
25 = x^3
Taking the cube root of both sides, we get:
x = ∛25
Since 25 can be expressed as 5^3, the cube root of 25 is 5.
Therefore, x = 5.
-42 = 8 - 2x^3
Subtract 8 from both sides:
-42 - 8 = -2x^3
-50 = -2x^3
Now, divide both sides by -2 to isolate x^3:
25 = x^3
Taking the cube root of both sides, we get:
x = ∛25
Since 25 can be expressed as 5^3, the cube root of 25 is 5.
Therefore, x = 5.