What are the solutions to the equation -15x^2+17x-6=0 ?

The solutions to the equation -15x^2+17x-6=0 are x= 17/30-i(sqrt(71))/(30),x= 17/30+i(sqrt(71))/(30)

Find the zeros of -15x^2+17x-6=0

The zeros of -15x^2+17x-6=0 are x= 17/30-i(sqrt(71))/(30),x= 17/30+i(sqrt(71))/(30)

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- 15 x^{2} + 17 x - 6 = 0

x = \frac{17}{30} - i \frac{71}{30}, x = \frac{17}{30} + i \frac{71}{30}

Solution steps

- 15 x^{2} + 17 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 17 \pm 1 7 ^{2} - 4 ( - 15 ) ( - 6 )}{2 ( - 15 )}

Simplify

1 7^{2} - 4 (- 15) (- 6) : 71 i

x_{1, 2} = \frac{- 17 \pm 71 i}{2 ( - 15 )}

Separate the solutions

x_{1} = \frac{- 17 + 71 i}{2 ( - 15 )}, x_{2} = \frac{- 17 - 71 i}{2 ( - 15 )}

x = \frac{- 17 + 71 i}{2 ( - 15 )} : \frac{17}{30} - i \frac{71}{30}

x = \frac{- 17 - 71 i}{2 ( - 15 )} : \frac{17}{30} + i \frac{71}{30}

The solutions to the quadratic equation are:

x = \frac{17}{30} - i \frac{71}{30}, x = \frac{17}{30} + i \frac{71}{30}

3 x^{2} - 21 x - 54 = 0

(x + 3)^{2} = 14

- 9 x^{2} - 4 x - 2 = 0

x^{2} + (\frac{15}{17})^{2} = 1

80 (X + 6) - 80 X = 3 X (X + 6)

What are the solutions to the equation -15x^2+17x-6=0 ?
The solutions to the equation -15x^2+17x-6=0 are x= 17/30-i(sqrt(71))/(30),x= 17/30+i(sqrt(71))/(30)
Find the zeros of -15x^2+17x-6=0
The zeros of -15x^2+17x-6=0 are x= 17/30-i(sqrt(71))/(30),x= 17/30+i(sqrt(71))/(30)