What are the solutions to the equation 5x^2-8x+12=0 ?

The solutions to the equation 5x^2-8x+12=0 are x= 4/5+i(2sqrt(11))/5 ,x= 4/5-i(2sqrt(11))/5

Find the zeros of 5x^2-8x+12=0

The zeros of 5x^2-8x+12=0 are x= 4/5+i(2sqrt(11))/5 ,x= 4/5-i(2sqrt(11))/5

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5 x^{2} - 8 x + 12 = 0

x = \frac{4}{5} + i \frac{2 11}{5}, x = \frac{4}{5} - i \frac{2 11}{5}

Solution steps

5 x^{2} - 8 x + 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 5 \cdot 12}{2 \cdot 5}

Simplify

(- 8)^{2} - 4 \cdot 5 \cdot 12 : 411 i

x_{1, 2} = \frac{- ( - 8 ) \pm 4 11 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 4 11 i}{2 \cdot 5}, x_{2} = \frac{- ( - 8 ) - 4 11 i}{2 \cdot 5}

x = \frac{- ( - 8 ) + 4 11 i}{2 \cdot 5} : \frac{4}{5} + i \frac{2 11}{5}

x = \frac{- ( - 8 ) - 4 11 i}{2 \cdot 5} : \frac{4}{5} - i \frac{2 11}{5}

The solutions to the quadratic equation are:

x = \frac{4}{5} + i \frac{2 11}{5}, x = \frac{4}{5} - i \frac{2 11}{5}

x^{2} + 3 x - 3 = 7 x + 9

x^{2} + 10 x - 12

x^{2} - 4 x = 77

- 60 x^{2} = 0

- 0.5 x^{2} + 0.75 x - 0.25 = 0

What are the solutions to the equation 5x^2-8x+12=0 ?
The solutions to the equation 5x^2-8x+12=0 are x= 4/5+i(2sqrt(11))/5 ,x= 4/5-i(2sqrt(11))/5
Find the zeros of 5x^2-8x+12=0
The zeros of 5x^2-8x+12=0 are x= 4/5+i(2sqrt(11))/5 ,x= 4/5-i(2sqrt(11))/5