What is the answer to sqrt(c^2+12c+36)=c+6 ?

The answer to sqrt(c^2+12c+36)=c+6 is c>=-6

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sqrt(c^2+12c+36)=c+6

c^{2} + 12 c + 36 = c + 6

c \geq - 6

Solution steps

c^{2} + 12 c + 36 = c + 6

Square both sides:

c^{2} + 12 c + 36 = c^{2} + 12 c + 36

c^{2} + 12 c + 36 = c^{2} + 12 c + 36

Both sides are equal

True for all c

Verify Solutions:

c < - 6

False

, c = - 6

True

, c > - 6

True

The solution is

c \geq - 6

2 x - 3 - 5 = 0

9 x - 11 - 1 = x

2 x - x - 1 = 3

2 t (t) = 4 t^{2}

x - 3 x - 8 = 4

What is the answer to sqrt(c^2+12c+36)=c+6 ?
The answer to sqrt(c^2+12c+36)=c+6 is c>=-6
Solve for c: sqrt(c^2+12c+36)=c+6
The solution is c>=-6