What are the solutions to the equation 6x^2-5x+8=0 ?

The solutions to the equation 6x^2-5x+8=0 are x= 5/12+i(sqrt(167))/(12),x= 5/12-i(sqrt(167))/(12)

Find the zeros of 6x^2-5x+8=0

The zeros of 6x^2-5x+8=0 are x= 5/12+i(sqrt(167))/(12),x= 5/12-i(sqrt(167))/(12)

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6 x^{2} - 5 x + 8 = 0

x = \frac{5}{12} + i \frac{167}{12}, x = \frac{5}{12} - i \frac{167}{12}

Solution steps

6 x^{2} - 5 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 6 \cdot 8}{2 \cdot 6}

Simplify

(- 5)^{2} - 4 \cdot 6 \cdot 8 : 167 i

x_{1, 2} = \frac{- ( - 5 ) \pm 167 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 167 i}{2 \cdot 6}, x_{2} = \frac{- ( - 5 ) - 167 i}{2 \cdot 6}

x = \frac{- ( - 5 ) + 167 i}{2 \cdot 6} : \frac{5}{12} + i \frac{167}{12}

x = \frac{- ( - 5 ) - 167 i}{2 \cdot 6} : \frac{5}{12} - i \frac{167}{12}

The solutions to the quadratic equation are:

x = \frac{5}{12} + i \frac{167}{12}, x = \frac{5}{12} - i \frac{167}{12}

∣ 2 x - 5 ∣ - 8 = 3

r^{2} + 81 = 0

37 = 18 q + 1

0.05 y + 0.02 (6000 - y) = 270

\frac{18}{2}

What are the solutions to the equation 6x^2-5x+8=0 ?
The solutions to the equation 6x^2-5x+8=0 are x= 5/12+i(sqrt(167))/(12),x= 5/12-i(sqrt(167))/(12)
Find the zeros of 6x^2-5x+8=0
The zeros of 6x^2-5x+8=0 are x= 5/12+i(sqrt(167))/(12),x= 5/12-i(sqrt(167))/(12)