What are the solutions to the equation -3x^2-8-10x=3 ?

The solutions to the equation -3x^2-8-10x=3 are x=-5/3-i(2sqrt(2))/3 ,x=-5/3+i(2sqrt(2))/3

Find the zeros of -3x^2-8-10x=3

The zeros of -3x^2-8-10x=3 are x=-5/3-i(2sqrt(2))/3 ,x=-5/3+i(2sqrt(2))/3

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- 3 x^{2} - 8 - 10 x = 3

x = - \frac{5}{3} - i \frac{2 2}{3}, x = - \frac{5}{3} + i \frac{2 2}{3}

Solution steps

- 3 x^{2} - 8 - 10 x = 3

Move

3

to the left side

- 3 x^{2} - 10 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 ( - 3 ) ( - 11 )}{2 ( - 3 )}

Simplify

(- 10)^{2} - 4 (- 3) (- 11) : 42 i

x_{1, 2} = \frac{- ( - 10 ) \pm 4 2 i}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 4 2 i}{2 ( - 3 )}, x_{2} = \frac{- ( - 10 ) - 4 2 i}{2 ( - 3 )}

x = \frac{- ( - 10 ) + 4 2 i}{2 ( - 3 )} : - \frac{5}{3} - i \frac{2 2}{3}

x = \frac{- ( - 10 ) - 4 2 i}{2 ( - 3 )} : - \frac{5}{3} + i \frac{2 2}{3}

The solutions to the quadratic equation are:

x = - \frac{5}{3} - i \frac{2 2}{3}, x = - \frac{5}{3} + i \frac{2 2}{3}

3 - 6 x \geq 16

(x - 3)^{2} = 25

8 (u - 1) - 4 = 4 (2 u - 3)

\frac{2 x}{5} = 5 + \frac{x}{3}

7 y^{2} - 15 y + 8

What are the solutions to the equation -3x^2-8-10x=3 ?
The solutions to the equation -3x^2-8-10x=3 are x=-5/3-i(2sqrt(2))/3 ,x=-5/3+i(2sqrt(2))/3
Find the zeros of -3x^2-8-10x=3
The zeros of -3x^2-8-10x=3 are x=-5/3-i(2sqrt(2))/3 ,x=-5/3+i(2sqrt(2))/3