What are the solutions to the equation 5x^2-14x+14=0 ?

The solutions to the equation 5x^2-14x+14=0 are x= 7/5+i(sqrt(21))/5 ,x= 7/5-i(sqrt(21))/5

Find the zeros of 5x^2-14x+14=0

The zeros of 5x^2-14x+14=0 are x= 7/5+i(sqrt(21))/5 ,x= 7/5-i(sqrt(21))/5

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5 x^{2} - 14 x + 14 = 0

x = \frac{7}{5} + i \frac{21}{5}, x = \frac{7}{5} - i \frac{21}{5}

Solution steps

5 x^{2} - 14 x + 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 5 \cdot 14}{2 \cdot 5}

Simplify

(- 14)^{2} - 4 \cdot 5 \cdot 14 : 221 i

x_{1, 2} = \frac{- ( - 14 ) \pm 2 21 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 2 21 i}{2 \cdot 5}, x_{2} = \frac{- ( - 14 ) - 2 21 i}{2 \cdot 5}

x = \frac{- ( - 14 ) + 2 21 i}{2 \cdot 5} : \frac{7}{5} + i \frac{21}{5}

x = \frac{- ( - 14 ) - 2 21 i}{2 \cdot 5} : \frac{7}{5} - i \frac{21}{5}

The solutions to the quadratic equation are:

x = \frac{7}{5} + i \frac{21}{5}, x = \frac{7}{5} - i \frac{21}{5}

6 m (m + 4) = m - 15

(2 x - 3)^{2} = 2 x - x^{2}

- 6 x^{2} - 24 x + 1 = 13

- 3 x^{2} - 12 x + 9 = 0

2 x^{2} = 3 - 8 x

What are the solutions to the equation 5x^2-14x+14=0 ?
The solutions to the equation 5x^2-14x+14=0 are x= 7/5+i(sqrt(21))/5 ,x= 7/5-i(sqrt(21))/5
Find the zeros of 5x^2-14x+14=0
The zeros of 5x^2-14x+14=0 are x= 7/5+i(sqrt(21))/5 ,x= 7/5-i(sqrt(21))/5