What are the solutions to the equation 5/3 x^2+10x+30=0 ?

The solutions to the equation 5/3 x^2+10x+30=0 are x=-3+3i,x=-3-3i

Find the zeros of 5/3 x^2+10x+30=0

The zeros of 5/3 x^2+10x+30=0 are x=-3+3i,x=-3-3i

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\frac{5}{3} x^{2} + 10 x + 30 = 0

x = - 3 + 3 i, x = - 3 - 3 i

Solution steps

\frac{5}{3} x^{2} + 10 x + 30 = 0

Multiply both sides by

3

5 x^{2} + 30 x + 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 5 \cdot 90}{2 \cdot 5}

Simplify

3 0^{2} - 4 \cdot 5 \cdot 90 : 30 i

x_{1, 2} = \frac{- 30 \pm 30 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 30 + 30 i}{2 \cdot 5}, x_{2} = \frac{- 30 - 30 i}{2 \cdot 5}

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

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

The solutions to the quadratic equation are:

x = - 3 + 3 i, x = - 3 - 3 i

225 = π \cdot r \cdot (r + 5)

(40 - x) (20 + 2 x) = 1200

x (x + 1) - 19 = 2 x + 1

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

6 4^{2} = 2 x^{2}

What are the solutions to the equation 5/3 x^2+10x+30=0 ?
The solutions to the equation 5/3 x^2+10x+30=0 are x=-3+3i,x=-3-3i
Find the zeros of 5/3 x^2+10x+30=0
The zeros of 5/3 x^2+10x+30=0 are x=-3+3i,x=-3-3i