What are the solutions to the equation x^2+100x+10000=0 ?

The solutions to the equation x^2+100x+10000=0 are x=-50+50sqrt(3)i,x=-50-50sqrt(3)i

Find the zeros of x^2+100x+10000=0

The zeros of x^2+100x+10000=0 are x=-50+50sqrt(3)i,x=-50-50sqrt(3)i

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x^{2} + 100 x + 10000 = 0

x = - 50 + 503 i, x = - 50 - 503 i

Solution steps

x^{2} + 100 x + 10000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 1 \cdot 10000}{2 \cdot 1}

Simplify

10 0^{2} - 4 \cdot 1 \cdot 10000 : 1003 i

x_{1, 2} = \frac{- 100 \pm 100 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 100 + 100 3 i}{2 \cdot 1}, x_{2} = \frac{- 100 - 100 3 i}{2 \cdot 1}

x = \frac{- 100 + 100 3 i}{2 \cdot 1} : - 50 + 503 i

x = \frac{- 100 - 100 3 i}{2 \cdot 1} : - 50 - 503 i

The solutions to the quadratic equation are:

x = - 50 + 503 i, x = - 50 - 503 i

x, u = x^{2} y

2 x^{2} + 5 x - 3 = 0

2 n^{2} - 16 n - 130 = 0

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

x, a x^{2} + b x = 0

What are the solutions to the equation x^2+100x+10000=0 ?
The solutions to the equation x^2+100x+10000=0 are x=-50+50sqrt(3)i,x=-50-50sqrt(3)i
Find the zeros of x^2+100x+10000=0
The zeros of x^2+100x+10000=0 are x=-50+50sqrt(3)i,x=-50-50sqrt(3)i