02-19-2023, 11:27 AM
Here's a puzzle that my high school shared online:
Looks tough . But, a fictional student (whom we'll call Ashley) has proposed the following solution:
Those solutions are all correct... but, there are more . What has Ashley missed?
Looks tough . But, a fictional student (whom we'll call Ashley) has proposed the following solution:
Quote:Anything to the power of 0 is 1. So, we can have:
x2 - 11x + 30 = 0
Factorising gives:
(x - 5)(x - 6) = 0
x = 5 or x = 6
Also, 1 to the power of anything is 1. So, we can also have:
x2 - 7x + 11 = 1
x2 - 7x + 10 = 0
Factorising gives:
(x - 2)(x - 5) = 0
x = 2 or x = 5.
The full list of solutions is: x = 2, x = 5, and x = 6.
Those solutions are all correct... but, there are more . What has Ashley missed?
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