What is the answer to sqrt(x^2+8x)=3-x ?

The answer to sqrt(x^2+8x)=3-x is x= 9/14

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sqrt(x^2+8x)=3-x

x^{2} + 8 x = 3 - x

x = \frac{9}{14}

Decimal Notation

x = 0.64285 \dots

Solution steps

x^{2} + 8 x = 3 - x

Square both sides:

x^{2} + 8 x = 9 - 6 x + x^{2}

x^{2} + 8 x = 9 - 6 x + x^{2}

Solve

x^{2} + 8 x = 9 - 6 x + x^{2} : x = \frac{9}{14}

x = \frac{9}{14}

Verify Solutions:

x = \frac{9}{14}

True

The solution is

x = \frac{9}{14}

5 x + 7 = 5 + 7

225 - 15 x^{2} = 0

v = 11 v - 28

2 x + 2 - 3 (x + 1)^{\frac{2}{3}} = 0

What is the answer to sqrt(x^2+8x)=3-x ?
The answer to sqrt(x^2+8x)=3-x is x= 9/14
Solve for x: sqrt(x^2+8x)=3-x
The solution is x= 9/14