What are the solutions to the equation 4x^2-3x+5=0 ?

The solutions to the equation 4x^2-3x+5=0 are x= 3/8+i(sqrt(71))/8 ,x= 3/8-i(sqrt(71))/8

Find the zeros of 4x^2-3x+5=0

The zeros of 4x^2-3x+5=0 are x= 3/8+i(sqrt(71))/8 ,x= 3/8-i(sqrt(71))/8

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4 x^{2} - 3 x + 5 = 0

x = \frac{3}{8} + i \frac{71}{8}, x = \frac{3}{8} - i \frac{71}{8}

Solution steps

4 x^{2} - 3 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 4 \cdot 5}{2 \cdot 4}

Simplify

(- 3)^{2} - 4 \cdot 4 \cdot 5 : 71 i

x_{1, 2} = \frac{- ( - 3 ) \pm 71 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 71 i}{2 \cdot 4}, x_{2} = \frac{- ( - 3 ) - 71 i}{2 \cdot 4}

x = \frac{- ( - 3 ) + 71 i}{2 \cdot 4} : \frac{3}{8} + i \frac{71}{8}

x = \frac{- ( - 3 ) - 71 i}{2 \cdot 4} : \frac{3}{8} - i \frac{71}{8}

The solutions to the quadratic equation are:

x = \frac{3}{8} + i \frac{71}{8}, x = \frac{3}{8} - i \frac{71}{8}

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What are the solutions to the equation 4x^2-3x+5=0 ?
The solutions to the equation 4x^2-3x+5=0 are x= 3/8+i(sqrt(71))/8 ,x= 3/8-i(sqrt(71))/8
Find the zeros of 4x^2-3x+5=0
The zeros of 4x^2-3x+5=0 are x= 3/8+i(sqrt(71))/8 ,x= 3/8-i(sqrt(71))/8