If a=7+4root3 & ab=1 then what is the value of 1/a^2+1+b^2
If a=7+4root3 & ab=1 then what is the value of 1/a^2+1+b^2
Sonali , 7 Years ago
Grade 12th pass
Algebra> If a=7+4root3 & ab=1 then what is the val...
1 Answers
Arun
Last Activity: 7 Years ago
Dear student
ab = 1
Hence
b = 1/[7 + 4sqrt(3)] = 7 - 4 sqrt(3)
Now
a² = 97 + 56 sqrt(3)
b² = 97 - 56 sqrt (3)
Now you can solve for
1/a² + 1/b²
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