Question

6.
If x = a + Va? -1, express a in terms of x.


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Answer 1

Step-by-step explanation:

x=a+√(a^2-1)

x-a=√(a^2-1)

(x-a)^2=a^2-1

x^2+a^2-2ax=a^2-1

x^2-2ax=-1

x^2-2ax+1=0

x=2a+√(4a^2-4)/2 or2a-√(4a^2-4)/2