How to Find X: Simple Steps for Solving Conversion Problems | Lowgear

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To solve the equation 1.3*((X*10)^.625/(X+10)^.25) = 11.9626, one approach is to raise the equation to the 8th power and manipulate it to form a polynomial. After simplifying and combining like terms, the solution for X can be found using computational tools like Maple, which yields X ≈ 11.99997853. Rounding the constants suggests that the intended solution is approximately 12. The discussion emphasizes the importance of algebraic manipulation and the use of software for complex calculations.
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I haven't done this type of math for too many years to remember. I use math daily in my work, but for the life of me I can't seem to figure out how to do this conversion. Could someone please help, I will be very grateful.
Thanks
lowgear

1.3*((X*10)^.625/(X+10)^.25) = 11.9626


I need to know how to find X
 
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I would start by taking the equation to the 8th power then multiplying both sides by the left side's denominator then combining like terms to get you a polynomial of integer powers.
 
Maple gives X = 11.99997853

If you rounded off some of the constants, then I think you were going for a solution of 12.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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