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

1 Answer
Mar 13, 2017

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! :-)