What are the solutions to the equation x^2+20x+700=0 ?

The solutions to the equation x^2+20x+700=0 are x=-10+10sqrt(6)i,x=-10-10sqrt(6)i

Find the zeros of x^2+20x+700=0

The zeros of x^2+20x+700=0 are x=-10+10sqrt(6)i,x=-10-10sqrt(6)i

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x^{2} + 20 x + 700 = 0

x = - 10 + 106 i, x = - 10 - 106 i

Solution steps

x^{2} + 20 x + 700 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 1 \cdot 700}{2 \cdot 1}

Simplify

2 0^{2} - 4 \cdot 1 \cdot 700 : 206 i

x_{1, 2} = \frac{- 20 \pm 20 6 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 20 + 20 6 i}{2 \cdot 1}, x_{2} = \frac{- 20 - 20 6 i}{2 \cdot 1}

x = \frac{- 20 + 20 6 i}{2 \cdot 1} : - 10 + 106 i

x = \frac{- 20 - 20 6 i}{2 \cdot 1} : - 10 - 106 i

The solutions to the quadratic equation are:

x = - 10 + 106 i, x = - 10 - 106 i

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

y, y^{2} = 2 x

4 x^{2} + 28 x = - 19 + 5 x

- x^{2} + 10 x = x + 18

13 x^{2} - 12 x - 2 = 0

What are the solutions to the equation x^2+20x+700=0 ?
The solutions to the equation x^2+20x+700=0 are x=-10+10sqrt(6)i,x=-10-10sqrt(6)i
Find the zeros of x^2+20x+700=0
The zeros of x^2+20x+700=0 are x=-10+10sqrt(6)i,x=-10-10sqrt(6)i