SOLUTION: Solve the following inequalities by stating the solution set or on a number line. Show your work. -4-(x-2)^2+64≥0

Algebra ->  Systems-of-equations -> SOLUTION: Solve the following inequalities by stating the solution set or on a number line. Show your work. -4-(x-2)^2+64≥0      Log On


   

Question 1120249: Solve the following inequalities by stating the solution set or on a number line. Show your work. -4-(x-2)^2+64≥0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-4-%28x-2%29%5E2%2B64%3E=0
-%28x-2%29%5E2%2B60%3E=0
%28x-2%29%5E2-60%3C=0
%28x-2%29%5E2%3C=60
-
Roots:
x-2=sqrt%285%2A2%2A2%2A3%29
x=2%2B-+2%2Asqrt%2815%29


Original Inequality will be true between the roots, inclusive.
2-2sqrt%2815%29%3C=x%3C=2%2B2sqrt%2815%29