MHB What is the missing number in this mathematical puzzle? 423=?

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398=964
118=164
356=936
423=?

What does 423 equal?
 
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LightningGirl said:
398=964
118=164
356=936
423=?

What does 423 equal?

Hey LightningGirl! Welcome to MHB! ;)

Can you give me a hint? (Sweating)
 
I like Serena said:
Hey LightningGirl! Welcome to MHB! ;)

Can you give me a hint? (Sweating)

First digit and last digit squared then put together.
I checked greg's solution and seems like it's also what he thought.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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