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Question Number 77848 by jagoll last updated on 11/Jan/20

Commented by jagoll last updated on 11/Jan/20

dear sir W  look picture   correct a = (√(b×c))?

$${dear}\:{sir}\:{W} \\ $$$${look}\:{picture}\: \\ $$$${correct}\:{a}\:=\:\sqrt{{b}×{c}}? \\ $$

Commented by mr W last updated on 11/Jan/20

((b−a)/(b+a))=((a−c)/(a+c))  ab−a^2 +bc−ac=ab+a^2 −bc−ac  a^2 =bc  ⇒a=(√(bc))

$$\frac{{b}−{a}}{{b}+{a}}=\frac{{a}−{c}}{{a}+{c}} \\ $$$${ab}−{a}^{\mathrm{2}} +{bc}−{ac}={ab}+{a}^{\mathrm{2}} −{bc}−{ac} \\ $$$${a}^{\mathrm{2}} ={bc} \\ $$$$\Rightarrow{a}=\sqrt{{bc}} \\ $$

Commented by jagoll last updated on 11/Jan/20

waw... thanks you sir

$${waw}...\:{thanks}\:{you}\:{sir} \\ $$

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