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

The solutions to the equation -7x^2-7x-2=0 are x=-1/2-i(sqrt(7))/(14),x=-1/2+i(sqrt(7))/(14)

Find the zeros of -7x^2-7x-2=0

The zeros of -7x^2-7x-2=0 are x=-1/2-i(sqrt(7))/(14),x=-1/2+i(sqrt(7))/(14)

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- 7 x^{2} - 7 x - 2 = 0

x = - \frac{1}{2} - i \frac{7}{14}, x = - \frac{1}{2} + i \frac{7}{14}

Solution steps

- 7 x^{2} - 7 x - 2 = 0

Solve with the quadratic formula

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

Simplify

(- 7)^{2} - 4 (- 7) (- 2) : 7 i

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

Separate the solutions

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

x = \frac{- ( - 7 ) + 7 i}{2 ( - 7 )} : - \frac{1}{2} - i \frac{7}{14}

x = \frac{- ( - 7 ) - 7 i}{2 ( - 7 )} : - \frac{1}{2} + i \frac{7}{14}

The solutions to the quadratic equation are:

x = - \frac{1}{2} - i \frac{7}{14}, x = - \frac{1}{2} + i \frac{7}{14}

X^{2} - 10 X + 21 = 0

3 x^{2} + 8 x - 20 = 0

m^{2} + 14 m + 49 = 0

y, x = y^{2} - 4

y, x = y^{2} - 2

What are the solutions to the equation -7x^2-7x-2=0 ?
The solutions to the equation -7x^2-7x-2=0 are x=-1/2-i(sqrt(7))/(14),x=-1/2+i(sqrt(7))/(14)
Find the zeros of -7x^2-7x-2=0
The zeros of -7x^2-7x-2=0 are x=-1/2-i(sqrt(7))/(14),x=-1/2+i(sqrt(7))/(14)