What is the answer to sqrt(x^2+3x)=5+x ?

The answer to sqrt(x^2+3x)=5+x is x=-25/7

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sqrt(x^2+3x)=5+x

x^{2} + 3 x = 5 + x

x = - \frac{25}{7}

Decimal Notation

x = - 3.57142 \dots

Solution steps

x^{2} + 3 x = 5 + x

Square both sides:

x^{2} + 3 x = 25 + 10 x + x^{2}

x^{2} + 3 x = 25 + 10 x + x^{2}

Solve

x^{2} + 3 x = 25 + 10 x + x^{2} : x = - \frac{25}{7}

x = - \frac{25}{7}

Verify Solutions:

x = - \frac{25}{7}

True

The solution is

x = - \frac{25}{7}

x - 4 = - 2 - x

c, 4 c - 16 c + 7 = 0

2 x + 3 = 2 + \cdot + 2

4 k - 11 + 15 = 2

x^{2} + x + 1 = x - 1

What is the answer to sqrt(x^2+3x)=5+x ?
The answer to sqrt(x^2+3x)=5+x is x=-25/7
Solve for x: sqrt(x^2+3x)=5+x
The solution is x=-25/7