factorise x square + 1/x square - 6

Asked by sanskritipathak2205 | 17th Apr, 2020, 09:25: AM

Expert Answer:

To factorise: x2 + 1/x2 - 6
T a k e space x squared plus 1 over x squared minus 6 equals 0
rightwards double arrow x to the power of 4 plus 1 minus 6 x squared equals 0
rightwards double arrow x to the power of 4 minus 6 x squared plus 1 equals 0
rightwards double arrow x squared equals fraction numerator 6 plus-or-minus square root of 36 minus 4 end root over denominator 2 end fraction equals fraction numerator 6 plus-or-minus 4 square root of 2 over denominator 2 end fraction equals 3 plus-or-minus 2 square root of 2
rightwards double arrow x to the power of 4 minus 6 x squared plus 1 equals open square brackets x squared minus open parentheses 3 plus 2 square root of 2 close parentheses close square brackets open square brackets x squared minus open parentheses 3 minus 2 square root of 2 close parentheses close square brackets
rightwards double arrow x squared plus 1 over x squared minus 6 equals open square brackets x squared minus open parentheses 3 plus 2 square root of 2 close parentheses close square brackets open square brackets x squared minus open parentheses 3 minus 2 square root of 2 close parentheses close square brackets

Answered by Renu Varma | 17th Apr, 2020, 10:28: AM