What are the solutions to the equation 4x^2-2x+8=0 ?

The solutions to the equation 4x^2-2x+8=0 are x= 1/4+i(sqrt(31))/4 ,x= 1/4-i(sqrt(31))/4

Find the zeros of 4x^2-2x+8=0

The zeros of 4x^2-2x+8=0 are x= 1/4+i(sqrt(31))/4 ,x= 1/4-i(sqrt(31))/4

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4 x^{2} - 2 x + 8 = 0

x = \frac{1}{4} + i \frac{31}{4}, x = \frac{1}{4} - i \frac{31}{4}

Solution steps

4 x^{2} - 2 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 4 \cdot 8}{2 \cdot 4}

Simplify

(- 2)^{2} - 4 \cdot 4 \cdot 8 : 231 i

x_{1, 2} = \frac{- ( - 2 ) \pm 2 31 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 31 i}{2 \cdot 4}, x_{2} = \frac{- ( - 2 ) - 2 31 i}{2 \cdot 4}

x = \frac{- ( - 2 ) + 2 31 i}{2 \cdot 4} : \frac{1}{4} + i \frac{31}{4}

x = \frac{- ( - 2 ) - 2 31 i}{2 \cdot 4} : \frac{1}{4} - i \frac{31}{4}

The solutions to the quadratic equation are:

x = \frac{1}{4} + i \frac{31}{4}, x = \frac{1}{4} - i \frac{31}{4}

16 x^{4} + 56 x^{2} + 49

x^{2} + 11 x + 30

\frac{3 ( 100 ) ^{2} + 1}{( 100 - 8 ) ^{2}}

\frac{( 5 x - 1 )}{3} > 3

\frac{81}{4} - 27

What are the solutions to the equation 4x^2-2x+8=0 ?
The solutions to the equation 4x^2-2x+8=0 are x= 1/4+i(sqrt(31))/4 ,x= 1/4-i(sqrt(31))/4
Find the zeros of 4x^2-2x+8=0
The zeros of 4x^2-2x+8=0 are x= 1/4+i(sqrt(31))/4 ,x= 1/4-i(sqrt(31))/4