What are the solutions to the equation 6x^2+120x+2070=0 ?

The solutions to the equation 6x^2+120x+2070=0 are x=-10+7sqrt(5)i,x=-10-7sqrt(5)i

Find the zeros of 6x^2+120x+2070=0

The zeros of 6x^2+120x+2070=0 are x=-10+7sqrt(5)i,x=-10-7sqrt(5)i

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6 x^{2} + 120 x + 2070 = 0

x = - 10 + 75 i, x = - 10 - 75 i

Solution steps

6 x^{2} + 120 x + 2070 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 120 \pm 12 0 ^{2} - 4 \cdot 6 \cdot 2070}{2 \cdot 6}

Simplify

12 0^{2} - 4 \cdot 6 \cdot 2070 : 845 i

x_{1, 2} = \frac{- 120 \pm 84 5 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 120 + 84 5 i}{2 \cdot 6}, x_{2} = \frac{- 120 - 84 5 i}{2 \cdot 6}

x = \frac{- 120 + 84 5 i}{2 \cdot 6} : - 10 + 75 i

x = \frac{- 120 - 84 5 i}{2 \cdot 6} : - 10 - 75 i

The solutions to the quadratic equation are:

x = - 10 + 75 i, x = - 10 - 75 i

3 h^{2} - 147 = 0

- 3 x^{2} + 12 x - 120 = 0

x^{2} + 4 x - 285 = 0

4 (3 x + 4)^{2} - 40 = - 24

a^{2} + 6 a + 4 = 0

What are the solutions to the equation 6x^2+120x+2070=0 ?
The solutions to the equation 6x^2+120x+2070=0 are x=-10+7sqrt(5)i,x=-10-7sqrt(5)i
Find the zeros of 6x^2+120x+2070=0
The zeros of 6x^2+120x+2070=0 are x=-10+7sqrt(5)i,x=-10-7sqrt(5)i