AfroK1ng
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Please someone help me. This is 3rd time I'm posting this question. No absurd answer please. The question clearly says show that the ration is 1+root5 over 2. The topic is quadratics. Picture attached.

Please someone help me This is 3rd time Im posting this question No absurd answer please The question clearly says show that the ration is 1root5 over 2 The top class=

Respuesta :

welshfella
as the 2 rectangles are similar  the corresponding sides are in the same ratio

so AB/YX = AD / YB

AB = x and AD =1 Also YX = 1 and YB = x - 1 

so we have
x = 1 (x - 1)
x(x - 1) = 1

x^2 - x - 1 = 0

Solve this using the quadratic formula (or by completing the square) and you#ll get the golden ratio

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