MHB Where is the Point of Minimal Combined Intensity Between Two Light Bulbs?

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The discussion focuses on determining the point of minimal combined intensity between two light bulbs, where one bulb's intensity is four times greater than the other and they are positioned 16 cm apart. The intensity of illumination is influenced by the source intensity and the distance from the source, following the inverse square law. To find the minimal combined intensity, a coordinate system can be established along the line connecting the two bulbs, with the origin at the more intense bulb. The intensity function can then be formulated and minimized to find the desired point. The final answer for the location of minimal intensity is expressed as 16/(1+cubic root of 4) from the more intense bulb.
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the intensity of the iluminacibn is directly proportional to the source intensity and inversely proportional to the square of Ia distance to the source. If two light bulbs are 16 cm of distance and one intensity of them is 4 times greater than the other, on which point of the line including Ia combined strength of the two foci is minimal?.

Remenbering
That I = ksin (f)/d2

and sin (h/d)
and d2= r2+h2

How must I organize this?? I tried with two triangles but i did not get the answer
Answer is = to 16/(1+cubic root of 4) from the more intesity bulb
 
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I would probably begin by orienting a coordinate axis along the line between the two light sources and place the origin at one source. Then, for some point $x$ along the line between the sources, write the function that describes the intensity of light received, and then minimize that function.
 
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