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ICSE Class 10 Answered

Solve the equation
question image
Asked by debabratap261 | 16 Feb, 2019, 02:42: PM
answered-by-expert Expert Answer
If b is mean proportion between a and c, the we have,    b2 = ac   .........................(1)

begin mathsize 12px style L H S thin space equals space fraction numerator a to the power of 4 space plus space a squared b squared space plus space b to the power of 4 over denominator b to the power of 4 space plus space b squared c squared plus c to the power of 4 end fraction space space................... left parenthesis 2 right parenthesis l e t space u s space s u b s t i t u t e space b squared space equals space a c space i n space e q n. left parenthesis 2 right parenthesis L H S space equals space fraction numerator a to the power of 4 space plus space a squared open parentheses a c close parentheses space plus space open parentheses a c close parentheses squared over denominator begin display style open parentheses a c close parentheses squared end style begin display style plus end style begin display style open parentheses a c close parentheses end style begin display style begin display style c end style squared end style begin display style plus end style begin display style begin display style c end style to the power of 4 end style end fraction space equals space fraction numerator a squared open parentheses a squared plus a c space plus space c squared close parentheses over denominator c squared open parentheses a squared plus a c plus c squared close parentheses end fraction space equals space a squared over c squared space equals space R H S end style
Answered by Thiyagarajan K | 16 Feb, 2019, 07:52: PM

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