What are the solutions to the equation -8x^2+7x-6=0 ?

The solutions to the equation -8x^2+7x-6=0 are x= 7/16-i(sqrt(143))/(16),x= 7/16+i(sqrt(143))/(16)

Find the zeros of -8x^2+7x-6=0

The zeros of -8x^2+7x-6=0 are x= 7/16-i(sqrt(143))/(16),x= 7/16+i(sqrt(143))/(16)

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- 8 x^{2} + 7 x - 6 = 0

x = \frac{7}{16} - i \frac{143}{16}, x = \frac{7}{16} + i \frac{143}{16}

Solution steps

- 8 x^{2} + 7 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 ( - 8 ) ( - 6 )}{2 ( - 8 )}

Simplify

7^{2} - 4 (- 8) (- 6) : 143 i

x_{1, 2} = \frac{- 7 \pm 143 i}{2 ( - 8 )}

Separate the solutions

x_{1} = \frac{- 7 + 143 i}{2 ( - 8 )}, x_{2} = \frac{- 7 - 143 i}{2 ( - 8 )}

x = \frac{- 7 + 143 i}{2 ( - 8 )} : \frac{7}{16} - i \frac{143}{16}

x = \frac{- 7 - 143 i}{2 ( - 8 )} : \frac{7}{16} + i \frac{143}{16}

The solutions to the quadratic equation are:

x = \frac{7}{16} - i \frac{143}{16}, x = \frac{7}{16} + i \frac{143}{16}

y, y^{3} = 2 x^{2}

- \frac{1}{2} x^{2} = 20 - 6 x

- x^{2} + 280 x - 17600 = 0

3 p^{2} + p - 9 = - 2

x^{2} - 8 + 15 = 0

What are the solutions to the equation -8x^2+7x-6=0 ?
The solutions to the equation -8x^2+7x-6=0 are x= 7/16-i(sqrt(143))/(16),x= 7/16+i(sqrt(143))/(16)
Find the zeros of -8x^2+7x-6=0
The zeros of -8x^2+7x-6=0 are x= 7/16-i(sqrt(143))/(16),x= 7/16+i(sqrt(143))/(16)