Question #49eeb

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Answer 1 · 2017-08-18T12:15:53

#a^(2) = frac(25)(26)#

We have: #frac((4 - 1)^(2))(a^(2)) + frac((6 - 2)^(2))(a^(2)) - 25 = 1#

#Rightarrow frac(3^(2))(a^(2)) + frac(4^(2))(a^(2)) = 26#

#Rightarrow frac(9)(a^(2)) + frac(16)(a^(2)) = 26#

#Rightarrow frac(9 + 16)(a^(2)) = 26#

#Rightarrow frac(25)(a^(2)) = 26#

#Rightarrow 25 = 26 a^(2)#

#Rightarrow frac(25)(26) = a^(2)#

#therefore a^(2) = frac(25)(26)#