SOLUTION: Hi there, would you mind helping me solve this problem? Directions: Solve the radical equation, check all proposed solutions. {{{ (sqrt(2x+30))-11=x }}} Tried this and got {

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi there, would you mind helping me solve this problem? Directions: Solve the radical equation, check all proposed solutions. {{{ (sqrt(2x+30))-11=x }}} Tried this and got {      Log On


   

Question 906526: Hi there, would you mind helping me solve this problem?
Directions: Solve the radical equation, check all proposed solutions.
+%28sqrt%282x%2B30%29%29-11=x+
Tried this and got +x=-13%2C-7+, checked the answers and thought -13 was the answer, but it turns outs both are incorrect. No solution is also not an answer.
Thank you!
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Given equation to solve, %28sqrt%282x%2B30%29%29-11=x

sqrt%282x%2B30%29=x%2B11
%28sqrt%282x%2B30%29%29%5E2=x%5E2%2B22x%2B121
2x%2B30=x%5E2%2B22x%2B121
0=x%5E2%2B20x%2B91
%28x%2B7%29%28x%2B13%29=0

highlight%28x=-7%29 OR highlight%28highlight%28x=-13%29%29
(Yes BOTH of them are acceptable solutions for x).

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
+%28sqrt%282x%2B30%29%29-11=x+
√(2x+30)=x+11
square both sides
2x+30=x^2+22x+121
x^2+20x+91=0
(x+7)(x+13)=0
x=-7
or
x=-13
check:
√(2x+30)=x+11
√(-14+30)=-7+11
√16=4
4=4
x=-7 ok
..
√(2x+30)=x+11
√(-26+30)=-13+11
√4=-2
x=-13 ok