Question

How do you solve `( x - 8) ^ { 2} - 6= 43` for `x`?

Answer 1

The answers to this quadratic equation would be 1 and 15.

Explanation:

Start off by adding 6 to both sides.

`(x-8)^2-6=43` `->` `(x-8)^2-6+6=43+6` `->` `(x-8)^2=49`

After that, take the square root from both sides of the equation:

`sqrt ((x-8)^2)=sqrt 49`

This will leave you with `x-8= +-7` (the `+-` is used in this case because the square root of a number includes both a negative and positive answer).

Finally, the answer(s) are 1 `->` `8-7` and `15` `->` `8+5`

Hope this helps! :-)