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=1,x= 2/3

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=1,x= 2/3

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

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

Decimal Notation

x = 1, x = 0.66666 \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 \cdot 4}{2 \cdot 6}

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

3 x^{2} - 11 x + 10

3 x^{2} - 8 x + 4

\frac{π}{3} + 4 π

\frac{9}{2}

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=1,x= 2/3
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=1,x= 2/3