Find the rational numbers....
⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ u = 1 6 7 + 1 6 5 v = 7 + 5 w = 8 7 + 8 5 x = 1 6 7 − 1 6 5 y = 4 7 + 4 5
Given the above, which of the options is a rational number?
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1 solution
Thanks for the solution! :)
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I actually edited your problem and answer options too.
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Latex edits?
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@Ojasee Duble – Yes. You should learn up LaTex. I am a moderator and I help to edit problem.
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@Chew-Seong Cheong – Sure, I will. And Thanks! :)
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@Ojasee Duble – You can place your mouse cursor over the formulas to see the LaTex codes. Or you can click the pull-down menu ⋯ at the bottom right corner of the problem box and select Toggle LaTex. You don't need to key in the "LaTex:" in front.
u x u x w u w x y u v w x y = ( 1 6 7 + 1 6 5 ) ( 1 6 7 − 1 6 5 ) = 8 7 − 8 5 = ( 8 7 − 8 5 ) ( 8 7 + 8 5 ) = 4 7 − 4 5 = ( 4 7 − 4 5 ) ( 4 7 + 4 5 ) = 7 − 5 = ( 7 − 5 ) ( 7 + 5 ) = 2
⟹ u v w x y is rational and the other options are not.