Eight more than the square a number is the same as 6 times the number. How do you find the number?

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Answer 1 · 2017-01-13T02:27:44

The number is either #2# or #4#.

From the data, considering the number as #x#, we can write:

#x^2+8=6x#

Subtract #6x# from both sides.

#x^2-6x+8=0#

Factorise.

#x^2-4x-2x+8=0#

#x(x-4)-2(x-4)=0#

#(x-2)(x-4)=0#

#x-2=0# or #x-4=0#

#x=2# or #x=4#