Solving Radical Equations and Inequalities

Question

The diameter d in inches of a rope needed to lift a weight of x tons is given by the formula d=(√15x)/π How much weight can be lifted with a rope with a diameter of 1.5in.?

π= 3.14 (pi)

Answer 1

I suggest that your equation does not involve variable w and so you're up the proverbial creek on this, UNLESS the letter x in your formula stands for weight.

 

If x really is w, then all you have to do is to solve for w. In that case, all you have to know is whether the radicand includes w, ie. square root of (15w), or is outside the scope of the square root sign--that makes a difference.