What are the solutions to the equation 2x^2-10/3 x-4/3 =0 ?

The solutions to the equation 2x^2-10/3 x-4/3 =0 are x=2,x=-1/3

Find the zeros of 2x^2-10/3 x-4/3 =0

The zeros of 2x^2-10/3 x-4/3 =0 are x=2,x=-1/3

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2 x^{2} - \frac{10}{3} x - \frac{4}{3} = 0

x = 2, x = - \frac{1}{3}

Decimal Notation

x = 2, x = - 0.33333 \dots

Solution steps

2 x^{2} - \frac{10}{3} x - \frac{4}{3} = 0

Multiply both sides by

3

6 x^{2} - 10 x - 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 6 ( - 4 )}{2 \cdot 6}

(- 10)^{2} - 4 \cdot 6 (- 4) = 14

x_{1, 2} = \frac{- ( - 10 ) \pm 14}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 14}{2 \cdot 6}, x_{2} = \frac{- ( - 10 ) - 14}{2 \cdot 6}

x = \frac{- ( - 10 ) + 14}{2 \cdot 6} : 2

x = \frac{- ( - 10 ) - 14}{2 \cdot 6} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = 2, x = - \frac{1}{3}

- 2 x^{2} + 4 x = 9

3 x + x^{2} = 88

25 x^{2} - 11 = 0

4 w^{2} + 4 w + 1 = 81

3 x^{2} - 6 x = 12

What are the solutions to the equation 2x^2-10/3 x-4/3 =0 ?
The solutions to the equation 2x^2-10/3 x-4/3 =0 are x=2,x=-1/3
Find the zeros of 2x^2-10/3 x-4/3 =0
The zeros of 2x^2-10/3 x-4/3 =0 are x=2,x=-1/3