What are the solutions to the equation 0=9x^{(2)}-10x+2 ?

The solutions to the equation 0=9x^{(2)}-10x+2 are x=(5+sqrt(7))/9 ,x=(5-sqrt(7))/9

Find the zeros of 0=9x^{(2)}-10x+2

The zeros of 0=9x^{(2)}-10x+2 are x=(5+sqrt(7))/9 ,x=(5-sqrt(7))/9

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0 = 9 x^{(2)} - 10 x + 2

x = \frac{5 + 7}{9}, x = \frac{5 - 7}{9}

Decimal Notation

x = 0.84952 \dots, x = 0.26158 \dots

Solution steps

0 = 9 x^{(2)} - 10 x + 2

Refine

0 = 9 x^{2} - 10 x + 2

Switch sides

9 x^{2} - 10 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 9 \cdot 2}{2 \cdot 9}

(- 10)^{2} - 4 \cdot 9 \cdot 2 = 27

x_{1, 2} = \frac{- ( - 10 ) \pm 2 7}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 7}{2 \cdot 9}, x_{2} = \frac{- ( - 10 ) - 2 7}{2 \cdot 9}

x = \frac{- ( - 10 ) + 2 7}{2 \cdot 9} : \frac{5 + 7}{9}

x = \frac{- ( - 10 ) - 2 7}{2 \cdot 9} : \frac{5 - 7}{9}

The solutions to the quadratic equation are:

x = \frac{5 + 7}{9}, x = \frac{5 - 7}{9}

- x^{2} + 2 = - 34

k^{2} + 5 k - 3 = 0

7 x^{2} = 56

2 x^{2} + 10 x - 16 = 0

3 x^{2} - 6 x + 80 = - 4

What are the solutions to the equation 0=9x^{(2)}-10x+2 ?
The solutions to the equation 0=9x^{(2)}-10x+2 are x=(5+sqrt(7))/9 ,x=(5-sqrt(7))/9
Find the zeros of 0=9x^{(2)}-10x+2
The zeros of 0=9x^{(2)}-10x+2 are x=(5+sqrt(7))/9 ,x=(5-sqrt(7))/9