What are the solutions to the equation 9x^2+2=10x ?

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

Find the zeros of 9x^2+2=10x

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

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9 x^{2} + 2 = 10 x

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

Decimal Notation

x = 0.84952 \dots, x = 0.26158 \dots

Solution steps

9 x^{2} + 2 = 10 x

Move

10 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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}

- 3 x^{2} + 12 x - 10 = 0

\frac{9}{m ^{- 8}}

(x - 4)^{2} = 9

16 x^{2} - 12 x

- 7 u = - 6

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