What are the solutions to the equation x^2+(x+2)^2=381 ?

The solutions to the equation x^2+(x+2)^2=381 are x=(-2+sqrt(758))/2 ,x=-(2+sqrt(758))/2

Find the zeros of x^2+(x+2)^2=381

The zeros of x^2+(x+2)^2=381 are x=(-2+sqrt(758))/2 ,x=-(2+sqrt(758))/2

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x^{2} + (x + 2)^{2} = 381

x = \frac{- 2 + 758}{2}, x = - \frac{2 + 758}{2}

Decimal Notation

x = 12.76589 \dots, x = - 14.76589 \dots

Solution steps

x^{2} + (x + 2)^{2} = 381

Expand

x^{2} + (x + 2)^{2} : 2 x^{2} + 4 x + 4

2 x^{2} + 4 x + 4 = 381

Move

381

to the left side

2 x^{2} + 4 x - 377 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 2 ( - 377 )}{2 \cdot 2}

4^{2} - 4 \cdot 2 (- 377) = 2758

x_{1, 2} = \frac{- 4 \pm 2 758}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 4 + 2 758}{2 \cdot 2}, x_{2} = \frac{- 4 - 2 758}{2 \cdot 2}

x = \frac{- 4 + 2 758}{2 \cdot 2} : \frac{- 2 + 758}{2}

x = \frac{- 4 - 2 758}{2 \cdot 2} : - \frac{2 + 758}{2}

The solutions to the quadratic equation are:

x = \frac{- 2 + 758}{2}, x = - \frac{2 + 758}{2}

\frac{y ^{2}}{2} = 1

4 w^{2} - 25 w = 21

9 x^{2} - 5 x - 10 = 0

x^{2} = 8 + 3

2 x^{2} + 32 x + 120 = 0

What are the solutions to the equation x^2+(x+2)^2=381 ?
The solutions to the equation x^2+(x+2)^2=381 are x=(-2+sqrt(758))/2 ,x=-(2+sqrt(758))/2
Find the zeros of x^2+(x+2)^2=381
The zeros of x^2+(x+2)^2=381 are x=(-2+sqrt(758))/2 ,x=-(2+sqrt(758))/2