What are the solutions to the equation 5x^2-20x+14=0 ?

The solutions to the equation 5x^2-20x+14=0 are x=(10+sqrt(30))/5 ,x=(10-sqrt(30))/5

Find the zeros of 5x^2-20x+14=0

The zeros of 5x^2-20x+14=0 are x=(10+sqrt(30))/5 ,x=(10-sqrt(30))/5

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5 x^{2} - 20 x + 14 = 0

x = \frac{10 + 30}{5}, x = \frac{10 - 30}{5}

Solution steps

5 x^{2} - 20 x + 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 5 \cdot 14}{2 \cdot 5}

(- 20)^{2} - 4 \cdot 5 \cdot 14 = 230

x_{1, 2} = \frac{- ( - 20 ) \pm 2 30}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 2 30}{2 \cdot 5}, x_{2} = \frac{- ( - 20 ) - 2 30}{2 \cdot 5}

x = \frac{- ( - 20 ) + 2 30}{2 \cdot 5} : \frac{10 + 30}{5}

x = \frac{- ( - 20 ) - 2 30}{2 \cdot 5} : \frac{10 - 30}{5}

The solutions to the quadratic equation are:

x = \frac{10 + 30}{5}, x = \frac{10 - 30}{5}

75 x^{2} y^{3} + 60 x y^{3}

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What are the solutions to the equation 5x^2-20x+14=0 ?
The solutions to the equation 5x^2-20x+14=0 are x=(10+sqrt(30))/5 ,x=(10-sqrt(30))/5
Find the zeros of 5x^2-20x+14=0
The zeros of 5x^2-20x+14=0 are x=(10+sqrt(30))/5 ,x=(10-sqrt(30))/5