What are the solutions to the equation 6x^2-3x+5=0 ?

The solutions to the equation 6x^2-3x+5=0 are x= 1/4+i(sqrt(111))/(12),x= 1/4-i(sqrt(111))/(12)

Find the zeros of 6x^2-3x+5=0

The zeros of 6x^2-3x+5=0 are x= 1/4+i(sqrt(111))/(12),x= 1/4-i(sqrt(111))/(12)

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

x = \frac{1}{4} + i \frac{111}{12}, x = \frac{1}{4} - i \frac{111}{12}

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 6 \cdot 5}{2 \cdot 6}

Simplify

(- 3)^{2} - 4 \cdot 6 \cdot 5 : 111 i

x_{1, 2} = \frac{- ( - 3 ) \pm 111 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 111 i}{2 \cdot 6}, x_{2} = \frac{- ( - 3 ) - 111 i}{2 \cdot 6}

x = \frac{- ( - 3 ) + 111 i}{2 \cdot 6} : \frac{1}{4} + i \frac{111}{12}

x = \frac{- ( - 3 ) - 111 i}{2 \cdot 6} : \frac{1}{4} - i \frac{111}{12}

The solutions to the quadratic equation are:

x = \frac{1}{4} + i \frac{111}{12}, x = \frac{1}{4} - i \frac{111}{12}

100 x^{2} = 1600

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

8 x^{2} - 22 x = 21

0 = - 25 x^{2} + 40 x - 16

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

What are the solutions to the equation 6x^2-3x+5=0 ?
The solutions to the equation 6x^2-3x+5=0 are x= 1/4+i(sqrt(111))/(12),x= 1/4-i(sqrt(111))/(12)
Find the zeros of 6x^2-3x+5=0
The zeros of 6x^2-3x+5=0 are x= 1/4+i(sqrt(111))/(12),x= 1/4-i(sqrt(111))/(12)