What are the solutions to the equation 1/5 x^2+2x+2/3 =0 ?

The solutions to the equation 1/5 x^2+2x+2/3 =0 are x=(-15+sqrt(195))/3 ,x=-(15+sqrt(195))/3

Find the zeros of 1/5 x^2+2x+2/3 =0

The zeros of 1/5 x^2+2x+2/3 =0 are x=(-15+sqrt(195))/3 ,x=-(15+sqrt(195))/3

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\frac{1}{5} x^{2} + 2 x + \frac{2}{3} = 0

x = \frac{- 15 + 195}{3}, x = - \frac{15 + 195}{3}

Decimal Notation

x = - 0.34525 \dots, x = - 9.65474 \dots

Solution steps

\frac{1}{5} x^{2} + 2 x + \frac{2}{3} = 0

Find Least Common Multiplier of

5, 3 : 15

Multiply by LCM=

15

\frac{1}{5} x^{2} \cdot 15 + 2 x \cdot 15 + \frac{2}{3} \cdot 15 = 0 \cdot 15

Simplify

3 x^{2} + 30 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 3 \cdot 10}{2 \cdot 3}

3 0^{2} - 4 \cdot 3 \cdot 10 = 2195

x_{1, 2} = \frac{- 30 \pm 2 195}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 30 + 2 195}{2 \cdot 3}, x_{2} = \frac{- 30 - 2 195}{2 \cdot 3}

x = \frac{- 30 + 2 195}{2 \cdot 3} : \frac{- 15 + 195}{3}

x = \frac{- 30 - 2 195}{2 \cdot 3} : - \frac{15 + 195}{3}

The solutions to the quadratic equation are:

x = \frac{- 15 + 195}{3}, x = - \frac{15 + 195}{3}

3 x^{2} - 9 x + 9 = 0

3 x^{2} + 7 x = 0

204 x - 6 x^{2} = 0

2 x^{2} - 7 x - 4 = 45

n, m^{2} - 4 n^{2} = y

What are the solutions to the equation 1/5 x^2+2x+2/3 =0 ?
The solutions to the equation 1/5 x^2+2x+2/3 =0 are x=(-15+sqrt(195))/3 ,x=-(15+sqrt(195))/3
Find the zeros of 1/5 x^2+2x+2/3 =0
The zeros of 1/5 x^2+2x+2/3 =0 are x=(-15+sqrt(195))/3 ,x=-(15+sqrt(195))/3