What is the answer to sqrt(c^2+10c+25)=c+5 ?

The answer to sqrt(c^2+10c+25)=c+5 is c>=-5

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sqrt(c^2+10c+25)=c+5

c^{2} + 10 c + 25 = c + 5

c \geq - 5

Solution steps

c^{2} + 10 c + 25 = c + 5

Square both sides:

c^{2} + 10 c + 25 = c^{2} + 10 c + 25

c^{2} + 10 c + 25 = c^{2} + 10 c + 25

Both sides are equal

True for all c

Verify Solutions:

c < - 5

False

, c = - 5

True

, c > - 5

True

The solution is

c \geq - 5

y = 20

x - 3 + x + 3 = 3

x = 2 x 36 - x^{2}

228.5 x^{- 1.5} = 29.5 x^{2.5}

What is the answer to sqrt(c^2+10c+25)=c+5 ?
The answer to sqrt(c^2+10c+25)=c+5 is c>=-5
Solve for c: sqrt(c^2+10c+25)=c+5
The solution is c>=-5