What are the solutions to the equation 3x^2+30x+78=0 ?

The solutions to the equation 3x^2+30x+78=0 are x=-5+i,x=-5-i

Find the zeros of 3x^2+30x+78=0

The zeros of 3x^2+30x+78=0 are x=-5+i,x=-5-i

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3 x^{2} + 30 x + 78 = 0

x = - 5 + i, x = - 5 - i

Solution steps

3 x^{2} + 30 x + 78 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 3 \cdot 78}{2 \cdot 3}

Simplify

3 0^{2} - 4 \cdot 3 \cdot 78 : 6 i

x_{1, 2} = \frac{- 30 \pm 6 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 30 + 6 i}{2 \cdot 3}, x_{2} = \frac{- 30 - 6 i}{2 \cdot 3}

x = \frac{- 30 + 6 i}{2 \cdot 3} : - 5 + i

x = \frac{- 30 - 6 i}{2 \cdot 3} : - 5 - i

The solutions to the quadratic equation are:

x = - 5 + i, x = - 5 - i

50 x^{2} - 72

\frac{2 π}{150 π}

\frac{3}{4} x + 2 > \frac{5}{8} x - 3

35 \cdot 6

- 7 = n - 17

What are the solutions to the equation 3x^2+30x+78=0 ?
The solutions to the equation 3x^2+30x+78=0 are x=-5+i,x=-5-i
Find the zeros of 3x^2+30x+78=0
The zeros of 3x^2+30x+78=0 are x=-5+i,x=-5-i