What is the answer to sqrt(x^2+2x+9)-7=2x ?

The answer to sqrt(x^2+2x+9)-7=2x is x=-2

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sqrt(x^2+2x+9)-7=2x

x^{2} + 2 x + 9 - 7 = 2 x

x = - 2

Solution steps

x^{2} + 2 x + 9 - 7 = 2 x

Remove square roots

x^{2} + 2 x + 9 = 4 x^{2} + 28 x + 49

Solve

x^{2} + 2 x + 9 = 4 x^{2} + 28 x + 49 : x = - \frac{20}{3}, x = - 2

x = - \frac{20}{3}, x = - 2

Verify Solutions:

x = - \frac{20}{3}

False

, x = - 2

True

The solution is

x = - 2

\frac{10 - 10 x}{3 x ^{\frac{1}{3}}} = 0

(x^{2} - 1)^{2} = x^{2} - 1

u + 1 = u + 1

4 1 + 3 x + 6 x + 3 = - 6 x - 1

2 x - 1 = 3

What is the answer to sqrt(x^2+2x+9)-7=2x ?
The answer to sqrt(x^2+2x+9)-7=2x is x=-2
Solve for x: sqrt(x^2+2x+9)-7=2x
The solution is x=-2