What are the solutions to the equation x^2+200x-10000=0 ?

The solutions to the equation x^2+200x-10000=0 are x=100(sqrt(2)-1),x=-100(1+sqrt(2))

Find the zeros of x^2+200x-10000=0

The zeros of x^2+200x-10000=0 are x=100(sqrt(2)-1),x=-100(1+sqrt(2))

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x^{2} + 200 x - 10000 = 0

x = 100 (2 - 1), x = - 100 (1 + 2)

Decimal Notation

x = 41.42135 \dots, x = - 241.42135 \dots

Solution steps

x^{2} + 200 x - 10000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 200 \pm 20 0 ^{2} - 4 \cdot 1 \cdot ( - 10000 )}{2 \cdot 1}

20 0^{2} - 4 \cdot 1 \cdot (- 10000) = 2002

x_{1, 2} = \frac{- 200 \pm 200 2}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 200 + 200 2}{2 \cdot 1}, x_{2} = \frac{- 200 - 200 2}{2 \cdot 1}

x = \frac{- 200 + 200 2}{2 \cdot 1} : 100 (2 - 1)

x = \frac{- 200 - 200 2}{2 \cdot 1} : - 100 (1 + 2)

The solutions to the quadratic equation are:

x = 100 (2 - 1), x = - 100 (1 + 2)

x^{2} - 20 x = - 85

6 x^{2} - 15 x + 2 = 2 x^{2} + 10 x - 4

4 (x - 5)^{2} + 20 = 0

1 = 5 x^{2} + 4 x

x^{2} + 14 x = 12

What are the solutions to the equation x^2+200x-10000=0 ?
The solutions to the equation x^2+200x-10000=0 are x=100(sqrt(2)-1),x=-100(1+sqrt(2))
Find the zeros of x^2+200x-10000=0
The zeros of x^2+200x-10000=0 are x=100(sqrt(2)-1),x=-100(1+sqrt(2))