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.