What are the solutions to the equation x^2+8/3 x+5/3 =0 ?

The solutions to the equation x^2+8/3 x+5/3 =0 are x=-1,x=-5/3

Find the zeros of x^2+8/3 x+5/3 =0

The zeros of x^2+8/3 x+5/3 =0 are x=-1,x=-5/3

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x^{2} + \frac{8}{3} x + \frac{5}{3} = 0

x = - 1, x = - \frac{5}{3}

Decimal Notation

x = - 1, x = - 1.66666 \dots

Solution steps

x^{2} + \frac{8}{3} x + \frac{5}{3} = 0

Multiply both sides by

3

3 x^{2} + 8 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

8^{2} - 4 \cdot 3 \cdot 5 = 2

x_{1, 2} = \frac{- 8 \pm 2}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 8 + 2}{2 \cdot 3}, x_{2} = \frac{- 8 - 2}{2 \cdot 3}

x = \frac{- 8 + 2}{2 \cdot 3} : - 1

x = \frac{- 8 - 2}{2 \cdot 3} : - \frac{5}{3}

The solutions to the quadratic equation are:

x = - 1, x = - \frac{5}{3}

\frac{( 2 ) ^{2} - 4}{( 2 ) ^{2} + ( 2 ) - 6}

2 (\frac{45}{53}) (\frac{28}{53})

- 9 < \frac{x}{5} - 2

2 π r h + 2 π r^{2}

x^{2} = 3 x + 6

What are the solutions to the equation x^2+8/3 x+5/3 =0 ?
The solutions to the equation x^2+8/3 x+5/3 =0 are x=-1,x=-5/3
Find the zeros of x^2+8/3 x+5/3 =0
The zeros of x^2+8/3 x+5/3 =0 are x=-1,x=-5/3