What are the solutions to the equation 5x^2+8x+2x=-11 ?

The solutions to the equation 5x^2+8x+2x=-11 are x=-1+isqrt(6/5),x=-1-isqrt(6/5)

Find the zeros of 5x^2+8x+2x=-11

The zeros of 5x^2+8x+2x=-11 are x=-1+isqrt(6/5),x=-1-isqrt(6/5)

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5 x^{2} + 8 x + 2 x = - 11

x = - 1 + i \frac{6}{5}, x = - 1 - i \frac{6}{5}

Solution steps

5 x^{2} + 8 x + 2 x = - 11

Refine

5 x^{2} + 10 x = - 11

Move

11

to the left side

5 x^{2} + 10 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 5 \cdot 11}{2 \cdot 5}

Simplify

1 0^{2} - 4 \cdot 5 \cdot 11 : 230 i

x_{1, 2} = \frac{- 10 \pm 2 30 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 10 + 2 30 i}{2 \cdot 5}, x_{2} = \frac{- 10 - 2 30 i}{2 \cdot 5}

x = \frac{- 10 + 2 30 i}{2 \cdot 5} : - 1 + i \frac{6}{5}

x = \frac{- 10 - 2 30 i}{2 \cdot 5} : - 1 - i \frac{6}{5}

The solutions to the quadratic equation are:

x = - 1 + i \frac{6}{5}, x = - 1 - i \frac{6}{5}

3 v^{2} + 3 v - 4 = 0

(x + 3) (x - 5) = 9

9 x^{2} + 21 x - 8 = 0

(3 x - 2) x = (5 x - 1) x

2 (x + 1)^{2} + 30 = 32

What are the solutions to the equation 5x^2+8x+2x=-11 ?
The solutions to the equation 5x^2+8x+2x=-11 are x=-1+isqrt(6/5),x=-1-isqrt(6/5)
Find the zeros of 5x^2+8x+2x=-11
The zeros of 5x^2+8x+2x=-11 are x=-1+isqrt(6/5),x=-1-isqrt(6/5)