How to solve x^2-75=0?

Layla Melton

Layla Melton

Answered question

2023-03-24

How to solve x 2 - 75 = 0 ?

Answer & Explanation

inconcusovg9s

inconcusovg9s

Beginner2023-03-25Added 6 answers

Treat x 2 - 75 as the difference of squares
The fact that a 2 - b 2 = ( a - b ) ( a + b )
So replacing a with x
and b with 5 3 (so that b 2 = 75 )
we have
XXX x 2 - 75 = 0
is equivalent to
XXX ( x - 5 3 ) ( x + 5 3 ) = 0
which implies
either ( x - 5 3 ) = 0 XX or XX ( x + 5 3 ) = 0
XX x = 5 3 XXXXXXXX x = - 5 3

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