What are the solutions to the equation x^2+120x+10000=0 ?

The solutions to the equation x^2+120x+10000=0 are x=-60+80i,x=-60-80i

Find the zeros of x^2+120x+10000=0

The zeros of x^2+120x+10000=0 are x=-60+80i,x=-60-80i

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x^{2} + 120 x + 10000 = 0

x = - 60 + 80 i, x = - 60 - 80 i

Solution steps

x^{2} + 120 x + 10000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 120 \pm 12 0 ^{2} - 4 \cdot 1 \cdot 10000}{2 \cdot 1}

Simplify

12 0^{2} - 4 \cdot 1 \cdot 10000 : 160 i

x_{1, 2} = \frac{- 120 \pm 160 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 120 + 160 i}{2 \cdot 1}, x_{2} = \frac{- 120 - 160 i}{2 \cdot 1}

x = \frac{- 120 + 160 i}{2 \cdot 1} : - 60 + 80 i

x = \frac{- 120 - 160 i}{2 \cdot 1} : - 60 - 80 i

The solutions to the quadratic equation are:

x = - 60 + 80 i, x = - 60 - 80 i

x^{2} - 2 (1 + 3 m) x + 7 (3 + 2 m) = 0

1890 = 30 x - 0.1 x^{2}

5 x^{2} + 5 = 20

(x + 7) (x + 3) = 21

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

What are the solutions to the equation x^2+120x+10000=0 ?
The solutions to the equation x^2+120x+10000=0 are x=-60+80i,x=-60-80i
Find the zeros of x^2+120x+10000=0
The zeros of x^2+120x+10000=0 are x=-60+80i,x=-60-80i