What are the solutions to the equation 1/3 x^2-1/9 x-10/9 =0 ?

The solutions to the equation 1/3 x^2-1/9 x-10/9 =0 are x=2,x=-5/3

Find the zeros of 1/3 x^2-1/9 x-10/9 =0

The zeros of 1/3 x^2-1/9 x-10/9 =0 are x=2,x=-5/3

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\frac{1}{3} x^{2} - \frac{1}{9} x - \frac{10}{9} = 0

x = 2, x = - \frac{5}{3}

Decimal Notation

x = 2, x = - 1.66666 \dots

Solution steps

\frac{1}{3} x^{2} - \frac{1}{9} x - \frac{10}{9} = 0

Find Least Common Multiplier of

3, 9 : 9

Multiply by LCM=

9

\frac{1}{3} x^{2} \cdot 9 - \frac{1}{9} x \cdot 9 - \frac{10}{9} \cdot 9 = 0 \cdot 9

Simplify

3 x^{2} - x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 ( - 10 )}{2 \cdot 3}

(- 1)^{2} - 4 \cdot 3 (- 10) = 11

x_{1, 2} = \frac{- ( - 1 ) \pm 11}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 11}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 11}{2 \cdot 3}

x = \frac{- ( - 1 ) + 11}{2 \cdot 3} : 2

x = \frac{- ( - 1 ) - 11}{2 \cdot 3} : - \frac{5}{3}

The solutions to the quadratic equation are:

x = 2, x = - \frac{5}{3}

(- 3 + 6 i)^{2}

9 x^{2} + 12 x - 5

x^{2} + 7 x - 27 = 0

- 3.1 < x < - 2.7

What are the solutions to the equation 1/3 x^2-1/9 x-10/9 =0 ?
The solutions to the equation 1/3 x^2-1/9 x-10/9 =0 are x=2,x=-5/3
Find the zeros of 1/3 x^2-1/9 x-10/9 =0
The zeros of 1/3 x^2-1/9 x-10/9 =0 are x=2,x=-5/3