What are the solutions to the equation 3x^2-5x+12=0 ?

The solutions to the equation 3x^2-5x+12=0 are x= 5/6+i(sqrt(119))/6 ,x= 5/6-i(sqrt(119))/6

Find the zeros of 3x^2-5x+12=0

The zeros of 3x^2-5x+12=0 are x= 5/6+i(sqrt(119))/6 ,x= 5/6-i(sqrt(119))/6

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3 x^{2} - 5 x + 12 = 0

x = \frac{5}{6} + i \frac{119}{6}, x = \frac{5}{6} - i \frac{119}{6}

Solution steps

3 x^{2} - 5 x + 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 \cdot 12}{2 \cdot 3}

Simplify

(- 5)^{2} - 4 \cdot 3 \cdot 12 : 119 i

x_{1, 2} = \frac{- ( - 5 ) \pm 119 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 119 i}{2 \cdot 3}, x_{2} = \frac{- ( - 5 ) - 119 i}{2 \cdot 3}

x = \frac{- ( - 5 ) + 119 i}{2 \cdot 3} : \frac{5}{6} + i \frac{119}{6}

x = \frac{- ( - 5 ) - 119 i}{2 \cdot 3} : \frac{5}{6} - i \frac{119}{6}

The solutions to the quadratic equation are:

x = \frac{5}{6} + i \frac{119}{6}, x = \frac{5}{6} - i \frac{119}{6}

m^{2} + 9 m - 22

\frac{2 7 - 3}{7 - 2}

7 x = - 91

(\frac{π}{2})^{2}

5 > x + 7

What are the solutions to the equation 3x^2-5x+12=0 ?
The solutions to the equation 3x^2-5x+12=0 are x= 5/6+i(sqrt(119))/6 ,x= 5/6-i(sqrt(119))/6
Find the zeros of 3x^2-5x+12=0
The zeros of 3x^2-5x+12=0 are x= 5/6+i(sqrt(119))/6 ,x= 5/6-i(sqrt(119))/6