What is the answer to sqrt(x^2+8x+16)=x+4 ?

The answer to sqrt(x^2+8x+16)=x+4 is x>=-4

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sqrt(x^2+8x+16)=x+4

x^{2} + 8 x + 16 = x + 4

x \geq - 4

Solution steps

x^{2} + 8 x + 16 = x + 4

Square both sides:

x^{2} + 8 x + 16 = x^{2} + 8 x + 16

x^{2} + 8 x + 16 = x^{2} + 8 x + 16

Both sides are equal

True for all x

Verify Solutions:

x < - 4

False

, x = - 4

True

, x > - 4

True

The solution is

x \geq - 4

x = (x + 3)^{\frac{1}{2}}

x^{2} - 5 x + 5 = x

x \cdot (x - 1) = 0

2 x + 21 - 2 x + 12 = 1

(11 - 6)^{2} + x = 32

What is the answer to sqrt(x^2+8x+16)=x+4 ?
The answer to sqrt(x^2+8x+16)=x+4 is x>=-4
Solve for x: sqrt(x^2+8x+16)=x+4
The solution is x>=-4