plz solve question number 23
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x²+1/x²=34
Add 2 on both sides
⇒x²+1/x²+2=34+2
⇒x²+1/x²+2×x×1/x=36
⇒(x+1/x)²=36
⇒x+1/x=√(36)
⇒x+1/x=6
cubing on both sides
⇒(x+1/x)³=6³
⇒x³+1/x³+3x1/x(x+1/x)=216
⇒x³+1/x³+3×6=216
⇒x³+1/x³+18=216
⇒x³+1/x³=216-18
⇒x³+1/x³=198
according to question,
x³+1/x³-9=198-9
⇒x³+1/x³-9=189
Add 2 on both sides
⇒x²+1/x²+2=34+2
⇒x²+1/x²+2×x×1/x=36
⇒(x+1/x)²=36
⇒x+1/x=√(36)
⇒x+1/x=6
cubing on both sides
⇒(x+1/x)³=6³
⇒x³+1/x³+3x1/x(x+1/x)=216
⇒x³+1/x³+3×6=216
⇒x³+1/x³+18=216
⇒x³+1/x³=216-18
⇒x³+1/x³=198
according to question,
x³+1/x³-9=198-9
⇒x³+1/x³-9=189
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