One solution of x^2 - 64 = 0 is 8. what is the other solution
1 answer:
Given:
The equation is:

One solutions is 8.
To find:
The other solution of the given equation.
Solution:
We have,

It can be written as:

![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
Using zero product property, we get
and 
and 
It is given that the one solutions is 8.
Therefore, the other solution is -8.
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