What are the solutions to the equation 7x^2-9x+3=0 ?

The solutions to the equation 7x^2-9x+3=0 are x= 9/14+i(sqrt(3))/(14),x= 9/14-i(sqrt(3))/(14)

Find the zeros of 7x^2-9x+3=0

The zeros of 7x^2-9x+3=0 are x= 9/14+i(sqrt(3))/(14),x= 9/14-i(sqrt(3))/(14)

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7 x^{2} - 9 x + 3 = 0

x = \frac{9}{14} + i \frac{3}{14}, x = \frac{9}{14} - i \frac{3}{14}

Solution steps

7 x^{2} - 9 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 7 \cdot 3}{2 \cdot 7}

Simplify

(- 9)^{2} - 4 \cdot 7 \cdot 3 : 3 i

x_{1, 2} = \frac{- ( - 9 ) \pm 3 i}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 3 i}{2 \cdot 7}, x_{2} = \frac{- ( - 9 ) - 3 i}{2 \cdot 7}

x = \frac{- ( - 9 ) + 3 i}{2 \cdot 7} : \frac{9}{14} + i \frac{3}{14}

x = \frac{- ( - 9 ) - 3 i}{2 \cdot 7} : \frac{9}{14} - i \frac{3}{14}

The solutions to the quadratic equation are:

x = \frac{9}{14} + i \frac{3}{14}, x = \frac{9}{14} - i \frac{3}{14}

(x + 2)^{2} + 3 = 0

x^{2} + 8 x = - 24

x^{2} + 8 x = - 10

y, x^{2} + y^{2} - 4 x + 6 y + 13 = 0

3 n^{2} = - n + 14

What are the solutions to the equation 7x^2-9x+3=0 ?
The solutions to the equation 7x^2-9x+3=0 are x= 9/14+i(sqrt(3))/(14),x= 9/14-i(sqrt(3))/(14)
Find the zeros of 7x^2-9x+3=0
The zeros of 7x^2-9x+3=0 are x= 9/14+i(sqrt(3))/(14),x= 9/14-i(sqrt(3))/(14)