Question

One solution of x^2 - 64 = 0 is 8. what is the other solution​

Answer 1

Given:

The equation is:

`x^2-64=0`

One solutions is 8.

To find:

The other solution of the given equation.

Solution:

We have,

`x^2-64=0`

It can be written as:

`x^2-8^2=0`

`(x-8)(x+8)=0`
`[\because a^2-b^2=(a-b)(a+b)]`

Using zero product property, we get

`x-8=0` and
`x+8=0`

`x=8` and
`x=-8`

It is given that the one solutions is 8.

Therefore, the other solution is -8.