What are the solutions to the equation -7x^2=7+9x ?

The solutions to the equation -7x^2=7+9x are x=-9/14-i(sqrt(115))/(14),x=-9/14+i(sqrt(115))/(14)

Find the zeros of -7x^2=7+9x

The zeros of -7x^2=7+9x are x=-9/14-i(sqrt(115))/(14),x=-9/14+i(sqrt(115))/(14)

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

x = - \frac{9}{14} - i \frac{115}{14}, x = - \frac{9}{14} + i \frac{115}{14}

Solution steps

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

Move

9 x

to the left side

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

Move

7

to the left side

- 7 x^{2} - 9 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 ( - 7 ) ( - 7 )}{2 ( - 7 )}

Simplify

(- 9)^{2} - 4 (- 7) (- 7) : 115 i

x_{1, 2} = \frac{- ( - 9 ) \pm 115 i}{2 ( - 7 )}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 115 i}{2 ( - 7 )}, x_{2} = \frac{- ( - 9 ) - 115 i}{2 ( - 7 )}

x = \frac{- ( - 9 ) + 115 i}{2 ( - 7 )} : - \frac{9}{14} - i \frac{115}{14}

x = \frac{- ( - 9 ) - 115 i}{2 ( - 7 )} : - \frac{9}{14} + i \frac{115}{14}

The solutions to the quadratic equation are:

x = - \frac{9}{14} - i \frac{115}{14}, x = - \frac{9}{14} + i \frac{115}{14}

21 x^{2} + 11 x = 2

2 x = 3 x^{2}

2 x^{2} + 2 x = 4

\frac{x}{1000} = \frac{1}{2} (0.005) (6.5 - x - 0.5)^{2}

4 t^{2} + 2 t - 2 = 0

What are the solutions to the equation -7x^2=7+9x ?
The solutions to the equation -7x^2=7+9x are x=-9/14-i(sqrt(115))/(14),x=-9/14+i(sqrt(115))/(14)
Find the zeros of -7x^2=7+9x
The zeros of -7x^2=7+9x are x=-9/14-i(sqrt(115))/(14),x=-9/14+i(sqrt(115))/(14)