Answer :
Answer:
[tex]x=\sqrt[4]{\dfrac{y+16s^3}{s}}[/tex]
Step-by-step explanation:
It appears you intend your equation to be ...
[tex]y=sx^4-16s^3[/tex]
In any "solve for" situation, it helps to consider what is being done to the variable of interest. (The order of operations is useful here.) In this case, ...
- x is raised to the 4th power
- the result is multiplied by s
- that product has 16s³ subtracted from it
You can isolate the variable by "undoing" these operations in reverse order.
The subtraction of 16s³ can be undone by adding 16s³. Anything we do must be done to both sides of the equation, so this gives ...
[tex]y+16s^3=sx^4 \qquad\text{add $16s^3$}\\\\\dfrac{y+16s^3}{s}=x^4 \qquad\text{divide by the coefficient of the x-term}\\\\\sqrt[4]{\dfrac{y+16s^3}{s}}=x \qquad\text{take the fourth root to undo the power}[/tex]