SOLUTION: Solve algebraically and check your potential solutions: sqrt(x+20)-x=0

Question 98145: Solve algebraically and check your potential solutions: sqrt(x+20)-x=0

Found 2 solutions by mathslover, edjones:
Answer by mathslover(157) (Show Source): You can put this solution on YOUR website!

Square on both sides

x=5 and x= -4
Checking by putting x=5

x=5 is a solution
Checking by putting x=-4

which is true if we consider the negative root of 16 ie -4
Solution x=5 and x=-4

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
sqrt(x+20)-x=0
sqrt(x+20)=x
square each side: x+20=x^2
x^2-x-20=0
Factor. (x-5)(x+4)=0
x=5 and x=-4
Check:
sqrt(5+20)-5=0 true
sqrt(-4+20)-4=0 true
Ed
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