What are the solutions to the equation -3x^2+9x-8=0 ?

The solutions to the equation -3x^2+9x-8=0 are x= 3/2-i(sqrt(15))/6 ,x= 3/2+i(sqrt(15))/6

Find the zeros of -3x^2+9x-8=0

The zeros of -3x^2+9x-8=0 are x= 3/2-i(sqrt(15))/6 ,x= 3/2+i(sqrt(15))/6

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- 3 x^{2} + 9 x - 8 = 0

x = \frac{3}{2} - i \frac{15}{6}, x = \frac{3}{2} + i \frac{15}{6}

Solution steps

- 3 x^{2} + 9 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 ( - 3 ) ( - 8 )}{2 ( - 3 )}

Simplify

9^{2} - 4 (- 3) (- 8) : 15 i

x_{1, 2} = \frac{- 9 \pm 15 i}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 9 + 15 i}{2 ( - 3 )}, x_{2} = \frac{- 9 - 15 i}{2 ( - 3 )}

x = \frac{- 9 + 15 i}{2 ( - 3 )} : \frac{3}{2} - i \frac{15}{6}

x = \frac{- 9 - 15 i}{2 ( - 3 )} : \frac{3}{2} + i \frac{15}{6}

The solutions to the quadratic equation are:

x = \frac{3}{2} - i \frac{15}{6}, x = \frac{3}{2} + i \frac{15}{6}

0 = x^{2} + 2 x - 48

3 a^{2} + 2 a = 7

x + x^{2} = 12

x^{2} - 16 x - 84 = - 5

7 x^{2} + 21 x - 28 = 0

What are the solutions to the equation -3x^2+9x-8=0 ?
The solutions to the equation -3x^2+9x-8=0 are x= 3/2-i(sqrt(15))/6 ,x= 3/2+i(sqrt(15))/6
Find the zeros of -3x^2+9x-8=0
The zeros of -3x^2+9x-8=0 are x= 3/2-i(sqrt(15))/6 ,x= 3/2+i(sqrt(15))/6