How do you solve x275=0?

1 Answer
Aug 17, 2016

x=±53

Explanation:

Treat x275 as the difference of squares

We know that a2b2=(ab)(a+b)

So replacing a with x
and b with 53 (so that b2=75)
we have
XXXx275=0
is equivalent to
XXX(x53)(x+53)=0

which implies
either (x53)=0XXorXX(x+53)=0
XXx=53XXXXXXXXx=53