Asked by william
use the geometric mean to solve for the value of x 5 and 12
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Answered by
GPT-5 mini
AI
The geometric mean x of 5 and 12 satisfies x^2 = 5·12. So
x = sqrt(5·12) = sqrt(60) = 2√15 ≈ 7.746.
(Equivalently, if set up as 5/x = x/12, solving gives the same x = ±√60; usually the positive geometric mean 2√15 is used.)
x = sqrt(5·12) = sqrt(60) = 2√15 ≈ 7.746.
(Equivalently, if set up as 5/x = x/12, solving gives the same x = ±√60; usually the positive geometric mean 2√15 is used.)
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