SOLUTION: Solve The Equation & Check: a)\sqrt(q+2)=7 b)\sqrt(5-x)=x+1

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Question 1131442: Solve The Equation & Check:
a)\sqrt(q+2)=7
b)\sqrt(5-x)=x+1
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
a)
sqrt%28q%2B2%29=7+.......square both sides
%28sqrt%28q%2B2%29%29%5E2=7%5E2+
q%2B2=49+
q=49-2+
q=47+


check:
sqrt%2847%2B2%29=7+
sqrt%2849%29=7+
7=7+


b)
sqrt%285-x%29=x%2B1......square both sides
%28sqrt%285-x%29%29%5E2=%28x%2B1%29%5E2
5-x=x%5E2%2B2x%2B1
0=x%5E2%2B2x%2Bx%2B1-5
x%5E2%2B3x-4=0..factor
x%5E2-x%2B4x-4=0
%28x%5E2-x%29%2B%284x-4%29=0
x%28x-1%29%2B4%28x-1%29=0
%28x%2B4%29%28x-1%29=0
solutions:
%28x%2B4%29=0->x=-4

%28x-1%29=0->x=1

check:
sqrt%285-x%29=x%2B1 ->x=-4
sqrt%285-%28-4%29%29=-4%2B1
sqrt%285%2B4%29=-3
sqrt%289%29=-3
±3=-3
=>-3=-3

sqrt%285-x%29=x%2B1 ->x=1
sqrt%285-1%29=1%2B1
sqrt%284%29=2
2=2



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Solve The Equation & Check:
a)\sqrt(q+2)=7
b)\sqrt(5-x)=x+1
Correct answers: 

I know, for sure, that I don't need the practice. Hence, do the check YOURSELF, unless of course you don't know how to!!