What are the solutions to the equation 4+1/3 x-1/2 x^2=0 ?

The solutions to the equation 4+1/3 x-1/2 x^2=0 are x=-(-1+sqrt(73))/3 ,x=(1+sqrt(73))/3

Find the zeros of 4+1/3 x-1/2 x^2=0

The zeros of 4+1/3 x-1/2 x^2=0 are x=-(-1+sqrt(73))/3 ,x=(1+sqrt(73))/3

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

x = - \frac{- 1 + 73}{3}, x = \frac{1 + 73}{3}

Decimal Notation

x = - 2.51466 \dots, x = 3.18133 \dots

Solution steps

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

Find Least Common Multiplier of

3, 2 : 6

Multiply by LCM=

6

4 \cdot 6 + \frac{1}{3} x \cdot 6 - \frac{1}{2} x^{2} \cdot 6 = 0 \cdot 6

Simplify

- 3 x^{2} + 2 x + 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 3 ) \cdot 24}{2 ( - 3 )}

2^{2} - 4 (- 3) \cdot 24 = 273

x_{1, 2} = \frac{- 2 \pm 2 73}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 2 + 2 73}{2 ( - 3 )}, x_{2} = \frac{- 2 - 2 73}{2 ( - 3 )}

x = \frac{- 2 + 2 73}{2 ( - 3 )} : - \frac{- 1 + 73}{3}

x = \frac{- 2 - 2 73}{2 ( - 3 )} : \frac{1 + 73}{3}

The solutions to the quadratic equation are:

x = - \frac{- 1 + 73}{3}, x = \frac{1 + 73}{3}

9 (x^{2} - 3) + 19 = - 4

3 x^{2} - 1 = 2

x^{2} + 8 x = 0

2 m^{2} - 5 m + 6 = 0

2 x^{2} - 58 = 104

What are the solutions to the equation 4+1/3 x-1/2 x^2=0 ?
The solutions to the equation 4+1/3 x-1/2 x^2=0 are x=-(-1+sqrt(73))/3 ,x=(1+sqrt(73))/3
Find the zeros of 4+1/3 x-1/2 x^2=0
The zeros of 4+1/3 x-1/2 x^2=0 are x=-(-1+sqrt(73))/3 ,x=(1+sqrt(73))/3