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1
Step-by-step explanation:
a^2 + 1/a^2 = 51
Subtract 2 to both the side of the equation.
a^2 + 1/a^2 - 2 = 51-2
a^2 + 1/a^2 -2(a)(1/a) = 49
Use the identity a^2 + b^2 + 2ab = (a+b)^2
a^2 +1/a^2 -2(a)(1/a) = 49
(a - 1/a)^2 = 49
Square root both the side, we get
a - 1/a = √49
a - 1/a = 7
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Answered by
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(a-1/a)^2= a^2+1/a^2-2
= 51-2
=49
a-1/a= root 49
a-1/a=7
= 51-2
=49
a-1/a= root 49
a-1/a=7
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