33 of 25th = 119, find the value of...
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33 of 25th = 119, find the value of x

11th - 12th Class
Maths
Solution
94
Rating
4.0 (1 ratings)
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( x^{4}+1 / x^{4}=119 ) ( Rightarrow x^{4}+1 / x^{4}+2=121 ) ( Rightarrowleft(x^{2}+1 / x^{2}right)^{2}=11^{2} ) ( Rightarrow x^{2}+1 / x^{2}=11 quad, ) ignore the negative value as ( L H S ) is tve. ( Rightarrow x^{2}+1 / x^{2}-2=9 ) ( Rightarrow(x-1 / x)^{2}=3^{2} ) ( Rightarrow x-1 / x=+3 ) or -3 ( Rightarrow(x-1 / x)^{3}=x^{3}-1 / x^{3}-3 x^{*} 1 / x^{*}(x-1 / x) ) ( (+3)^{3}=x^{3}-1 / x^{3}-3(+3) ) Answer: ( quad x^{2}-1 / x^{2}=3^{2}+9 ) or ( -30-9=pm 36 )
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