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

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

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

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

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x^{2} - \frac{5}{3} x - \frac{2}{3} = 0

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

Decimal

x = 2, x = - 0.33333 \dots

Solution steps

x^{2} - \frac{5}{3} x - \frac{2}{3} = 0

Multiply both sides by

3

3 x^{2} - 5 x - 2 = 0

Solve with the quadratic formula

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

(- 5)^{2} - 4 \cdot 3 (- 2) = 7

x_{1, 2} = \frac{- ( - 5 ) \pm 7}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 7}{2 \cdot 3}, x_{2} = \frac{- ( - 5 ) - 7}{2 \cdot 3}

x = \frac{- ( - 5 ) + 7}{2 \cdot 3} : 2

x = \frac{- ( - 5 ) - 7}{2 \cdot 3} : - \frac{1}{3}

The solutions to the quadratic equation are:

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

a, a^{2} + b^{2} + c^{2} = 121

5 x^{2} - 2 = 2 x^{2}

x^{2} + 3 = 51

x^{2} + 6 x + 34

x^{2} - 15 x + 44 = 0

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