Radical Equation Help

[lp97]

Sorry to bother, but this question has confused me for the last couple of days.
How do I solve for t in the equation:
49t^2/3+28t^1/3=-4

 

[Deleted member 4993]

Sorry to bother, but this question has confused me for the last couple of days.
How do I solve for t in the equation:
49t^2/3+28t^1/3=-4

View attachment 22531

substitute

K = t^[1/3]...continue

 

[JeffM]

Sorry to bother, but this question has confused me for the last couple of days.
How do I solve for t in the equation:
49t^2/3+28t^1/3=-4

View attachment 22531

Subhotosh Khan has told you what to do solve this specific problem, but there is a general moral behind that specific advice. When you have a problem that appears unsolvable, try to dream up a way to transform it into a problem that you know how to solve. This is not a mechanical process; it requires thought and creativity (and experience). Here SK “SAW“ that this can be restated as a quadratic equation with a substitution of this type

[MATH]u = t^{1/3}.[/MATH]
Now I don’t know what mental process he used, but quite possibly he thought a bit and remembered that

[MATH]t^{2/3} = (t^{1/3})^2[/MATH].

Aha, a square. So I can turn this into a quadratic If I want to. Will that help? Probably, I have tools to help me with a quadratic.

Math is in one respect a box of tools. You sometimes need to think a while to figure out whIch tools to take out of the box.

 

[onesun0000]

don't you have like an attempt to solve that? You may wanna try first then show us so we can help you...