What are the solutions to the equation 0.9x^2-x+0.9=0 ?

The solutions to the equation 0.9x^2-x+0.9=0 are x= 5/9+i(2sqrt(14))/9 ,x= 5/9-i(2sqrt(14))/9

Find the zeros of 0.9x^2-x+0.9=0

The zeros of 0.9x^2-x+0.9=0 are x= 5/9+i(2sqrt(14))/9 ,x= 5/9-i(2sqrt(14))/9

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0.9 x^{2} - x + 0.9 = 0

x = \frac{5}{9} + i \frac{2 14}{9}, x = \frac{5}{9} - i \frac{2 14}{9}

Solution steps

0.9 x^{2} - x + 0.9 = 0

Multiply both sides by

10

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

Solve with the quadratic formula

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

Simplify

(- 10)^{2} - 4 \cdot 9 \cdot 9 : 414 i

x_{1, 2} = \frac{- ( - 10 ) \pm 4 14 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 4 14 i}{2 \cdot 9}, x_{2} = \frac{- ( - 10 ) - 4 14 i}{2 \cdot 9}

x = \frac{- ( - 10 ) + 4 14 i}{2 \cdot 9} : \frac{5}{9} + i \frac{2 14}{9}

x = \frac{- ( - 10 ) - 4 14 i}{2 \cdot 9} : \frac{5}{9} - i \frac{2 14}{9}

The solutions to the quadratic equation are:

x = \frac{5}{9} + i \frac{2 14}{9}, x = \frac{5}{9} - i \frac{2 14}{9}

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5 x^{2} - 44 x + 120 = - 30 + 11 x

(\frac{6 l m ^{2}}{3 l ^{3} m ^{6}})^{2}

3 x^{- \frac{1}{2}} + 4 x^{\frac{1}{2}} + x^{\frac{3}{2}}

What are the solutions to the equation 0.9x^2-x+0.9=0 ?
The solutions to the equation 0.9x^2-x+0.9=0 are x= 5/9+i(2sqrt(14))/9 ,x= 5/9-i(2sqrt(14))/9
Find the zeros of 0.9x^2-x+0.9=0
The zeros of 0.9x^2-x+0.9=0 are x= 5/9+i(2sqrt(14))/9 ,x= 5/9-i(2sqrt(14))/9