What are the solutions to the equation x^2+2x=300 ?

The solutions to the equation x^2+2x=300 are x=-1+sqrt(301),x=-1-sqrt(301)

Find the zeros of x^2+2x=300

The zeros of x^2+2x=300 are x=-1+sqrt(301),x=-1-sqrt(301)

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x^{2} + 2 x = 300

x = - 1 + 301, x = - 1 - 301

Decimal Notation

x = 16.34935 \dots, x = - 18.34935 \dots

Solution steps

x^{2} + 2 x = 300

Move

300

to the left side

x^{2} + 2 x - 300 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot ( - 300 )}{2 \cdot 1}

2^{2} - 4 \cdot 1 \cdot (- 300) = 2301

x_{1, 2} = \frac{- 2 \pm 2 301}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 2 + 2 301}{2 \cdot 1}, x_{2} = \frac{- 2 - 2 301}{2 \cdot 1}

x = \frac{- 2 + 2 301}{2 \cdot 1} : - 1 + 301

x = \frac{- 2 - 2 301}{2 \cdot 1} : - 1 - 301

The solutions to the quadratic equation are:

x = - 1 + 301, x = - 1 - 301

2 x^{2} + 5 x - 11 = 0

5 x^{2} - 4 x - 8 = 0

0.3 x^{2} - 1.2 x - 0.3 = 0

\frac{3}{8} x^{2} + 3 x + 24 = 0

x, x^{2} y - x^{2} - y = 0

What are the solutions to the equation x^2+2x=300 ?
The solutions to the equation x^2+2x=300 are x=-1+sqrt(301),x=-1-sqrt(301)
Find the zeros of x^2+2x=300
The zeros of x^2+2x=300 are x=-1+sqrt(301),x=-1-sqrt(301)