Question

How do you solve `3(x-5)^2 + 8 = 14`?

Answer 1

`x=5+-sqrt2.`

`x~=6.414`, or, `x~=3.586`

Explanation:

`3(x-5)^2+8=14.`
`:. 3(x-5)^2=14-8=6.`
`:. (x-5)^2=6/3=2.`
`:. (x-5)=+-sqrt2.`
`:. x=5+-sqrt2.`

Taking, `sqrt2=1.414, x~=5+-1.414.`

`:. x~=5+1.414=6.414`, or, `x~=5-1.414=3.586`