What are the solutions to the equation 5x^2-10x+7=0 ?

The solutions to the equation 5x^2-10x+7=0 are x=1+isqrt(2/5),x=1-isqrt(2/5)

Find the zeros of 5x^2-10x+7=0

The zeros of 5x^2-10x+7=0 are x=1+isqrt(2/5),x=1-isqrt(2/5)

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5 x^{2} - 10 x + 7 = 0

x = 1 + i \frac{2}{5}, x = 1 - i \frac{2}{5}

Solution steps

5 x^{2} - 10 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 \cdot 7}{2 \cdot 5}

Simplify

(- 10)^{2} - 4 \cdot 5 \cdot 7 : 210 i

x_{1, 2} = \frac{- ( - 10 ) \pm 2 10 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 10 i}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 2 10 i}{2 \cdot 5}

x = \frac{- ( - 10 ) + 2 10 i}{2 \cdot 5} : 1 + i \frac{2}{5}

x = \frac{- ( - 10 ) - 2 10 i}{2 \cdot 5} : 1 - i \frac{2}{5}

The solutions to the quadratic equation are:

x = 1 + i \frac{2}{5}, x = 1 - i \frac{2}{5}

x, 21 x^{2} + 6 x y + 13 y^{2} - 114 x + 34 y + 73 = 0

\frac{( 4 x - 3 ) ^{2}}{5} + \frac{( 3 x - 2 )}{25} = 0

- 6 x^{2} + 72 x - 162 = 0

- 3 x^{2} - 42 x - 51 = - 12 x

s^{2} + 5 s + 8

What are the solutions to the equation 5x^2-10x+7=0 ?
The solutions to the equation 5x^2-10x+7=0 are x=1+isqrt(2/5),x=1-isqrt(2/5)
Find the zeros of 5x^2-10x+7=0
The zeros of 5x^2-10x+7=0 are x=1+isqrt(2/5),x=1-isqrt(2/5)