a²-8a-1=0 find the value
a+1/a and a²-1/a²
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Answer:
34+ 8√17 / ( 4+√17)
(2176 + 272√17 ) / (33 + 8 √17)
Step-by-step explanation:
a = {8±√ 64+4}/2
a =【 8±2√17】/2
a= 4±√17
a+1/a = 4+√17 + 1/ (4 + √17)
= 34+ 8√17 / ( 4+√17)
a^2 - 1/a^2 = { ( a+ 1/a ) ( a- 1/a)
【 { 34 + 8√17 / ( 4+ √17 ) } { 32+ 8√17 /( 4 +√17 )】
= (2176 + 272√17 ) / (33 + 8 √17)
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