What is the answer to sqrt(c^2+6c+9)=c+3 ?

The answer to sqrt(c^2+6c+9)=c+3 is c>=-3

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sqrt(c^2+6c+9)=c+3

c^{2} + 6 c + 9 = c + 3

c \geq - 3

Solution steps

c^{2} + 6 c + 9 = c + 3

Square both sides:

c^{2} + 6 c + 9 = c^{2} + 6 c + 9

c^{2} + 6 c + 9 = c^{2} + 6 c + 9

Both sides are equal

True for all c

Verify Solutions:

c < - 3

False

, c = - 3

True

, c > - 3

True

The solution is

c \geq - 3

x - 7 x + 2 = 0

x + x = 72

6 x + x = 0

6 x - 18 x - 8 = 2

9 (r^{\frac{3}{4}}) = 243

What is the answer to sqrt(c^2+6c+9)=c+3 ?
The answer to sqrt(c^2+6c+9)=c+3 is c>=-3
Solve for c: sqrt(c^2+6c+9)=c+3
The solution is c>=-3