What are the solutions to the equation 4x^2-2x+10=0 ?

The solutions to the equation 4x^2-2x+10=0 are x= 1/4+i(sqrt(39))/4 ,x= 1/4-i(sqrt(39))/4

Find the zeros of 4x^2-2x+10=0

The zeros of 4x^2-2x+10=0 are x= 1/4+i(sqrt(39))/4 ,x= 1/4-i(sqrt(39))/4

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4 x^{2} - 2 x + 10 = 0

x = \frac{1}{4} + i \frac{39}{4}, x = \frac{1}{4} - i \frac{39}{4}

Solution steps

4 x^{2} - 2 x + 10 = 0

Solve with the quadratic formula

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

Simplify

(- 2)^{2} - 4 \cdot 4 \cdot 10 : 239 i

x_{1, 2} = \frac{- ( - 2 ) \pm 2 39 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 39 i}{2 \cdot 4}, x_{2} = \frac{- ( - 2 ) - 2 39 i}{2 \cdot 4}

x = \frac{- ( - 2 ) + 2 39 i}{2 \cdot 4} : \frac{1}{4} + i \frac{39}{4}

x = \frac{- ( - 2 ) - 2 39 i}{2 \cdot 4} : \frac{1}{4} - i \frac{39}{4}

The solutions to the quadratic equation are:

x = \frac{1}{4} + i \frac{39}{4}, x = \frac{1}{4} - i \frac{39}{4}

x^{2} + 9 x = 27

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

100 x^{2} = 1

3 x^{2} + 9 x - 26 = 4 x^{2} - x - 1

x, 3 x^{2} - m x + 15 = 0

What are the solutions to the equation 4x^2-2x+10=0 ?
The solutions to the equation 4x^2-2x+10=0 are x= 1/4+i(sqrt(39))/4 ,x= 1/4-i(sqrt(39))/4
Find the zeros of 4x^2-2x+10=0
The zeros of 4x^2-2x+10=0 are x= 1/4+i(sqrt(39))/4 ,x= 1/4-i(sqrt(39))/4