What are the solutions to the equation 10x^2-9x+6=0 ?

The solutions to the equation 10x^2-9x+6=0 are x= 9/20+i(sqrt(159))/(20),x= 9/20-i(sqrt(159))/(20)

Find the zeros of 10x^2-9x+6=0

The zeros of 10x^2-9x+6=0 are x= 9/20+i(sqrt(159))/(20),x= 9/20-i(sqrt(159))/(20)

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10 x^{2} - 9 x + 6 = 0

x = \frac{9}{20} + i \frac{159}{20}, x = \frac{9}{20} - i \frac{159}{20}

Solution steps

10 x^{2} - 9 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 10 \cdot 6}{2 \cdot 10}

Simplify

(- 9)^{2} - 4 \cdot 10 \cdot 6 : 159 i

x_{1, 2} = \frac{- ( - 9 ) \pm 159 i}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 159 i}{2 \cdot 10}, x_{2} = \frac{- ( - 9 ) - 159 i}{2 \cdot 10}

x = \frac{- ( - 9 ) + 159 i}{2 \cdot 10} : \frac{9}{20} + i \frac{159}{20}

x = \frac{- ( - 9 ) - 159 i}{2 \cdot 10} : \frac{9}{20} - i \frac{159}{20}

The solutions to the quadratic equation are:

x = \frac{9}{20} + i \frac{159}{20}, x = \frac{9}{20} - i \frac{159}{20}

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

x^{2} + 28 = 0

0 = - x^{2} + 4

x^{2} - 2 = 7

- 5 + 6 x - x^{2}

What are the solutions to the equation 10x^2-9x+6=0 ?
The solutions to the equation 10x^2-9x+6=0 are x= 9/20+i(sqrt(159))/(20),x= 9/20-i(sqrt(159))/(20)
Find the zeros of 10x^2-9x+6=0
The zeros of 10x^2-9x+6=0 are x= 9/20+i(sqrt(159))/(20),x= 9/20-i(sqrt(159))/(20)