What are the solutions to the equation 13+8x=-2x^2 ?

The solutions to the equation 13+8x=-2x^2 are x=-2-isqrt(5/2),x=-2+isqrt(5/2)

Find the zeros of 13+8x=-2x^2

The zeros of 13+8x=-2x^2 are x=-2-isqrt(5/2),x=-2+isqrt(5/2)

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13 + 8 x = - 2 x^{2}

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

Solution steps

13 + 8 x = - 2 x^{2}

Switch sides

- 2 x^{2} = 13 + 8 x

Move

8 x

to the left side

- 2 x^{2} - 8 x = 13

Move

13

to the left side

- 2 x^{2} - 8 x - 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 ( - 2 ) ( - 13 )}{2 ( - 2 )}

Simplify

(- 8)^{2} - 4 (- 2) (- 13) : 210 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 10 i}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 10 i}{2 ( - 2 )}, x_{2} = \frac{- ( - 8 ) - 2 10 i}{2 ( - 2 )}

x = \frac{- ( - 8 ) + 2 10 i}{2 ( - 2 )} : - 2 - i \frac{5}{2}

x = \frac{- ( - 8 ) - 2 10 i}{2 ( - 2 )} : - 2 + i \frac{5}{2}

The solutions to the quadratic equation are:

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

x^{2} + 2 b x - a^{2} + b^{2} = 0

x^{2} - 18 = - 3 x

25 x^{2} = 100

x + x^{2} = 30

x^{2} - 20 x + 95 = 0

What are the solutions to the equation 13+8x=-2x^2 ?
The solutions to the equation 13+8x=-2x^2 are x=-2-isqrt(5/2),x=-2+isqrt(5/2)
Find the zeros of 13+8x=-2x^2
The zeros of 13+8x=-2x^2 are x=-2-isqrt(5/2),x=-2+isqrt(5/2)