What are the solutions to the equation 5x^2+10x+16=0 ?

The solutions to the equation 5x^2+10x+16=0 are x=-1+isqrt(11/5),x=-1-isqrt(11/5)

Find the zeros of 5x^2+10x+16=0

The zeros of 5x^2+10x+16=0 are x=-1+isqrt(11/5),x=-1-isqrt(11/5)

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5 x^{2} + 10 x + 16 = 0

x = - 1 + i \frac{11}{5}, x = - 1 - i \frac{11}{5}

Solution steps

5 x^{2} + 10 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 5 \cdot 16}{2 \cdot 5}

Simplify

1 0^{2} - 4 \cdot 5 \cdot 16 : 255 i

x_{1, 2} = \frac{- 10 \pm 2 55 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 10 + 2 55 i}{2 \cdot 5}, x_{2} = \frac{- 10 - 2 55 i}{2 \cdot 5}

x = \frac{- 10 + 2 55 i}{2 \cdot 5} : - 1 + i \frac{11}{5}

x = \frac{- 10 - 2 55 i}{2 \cdot 5} : - 1 - i \frac{11}{5}

The solutions to the quadratic equation are:

x = - 1 + i \frac{11}{5}, x = - 1 - i \frac{11}{5}

y, x^{2} = y^{3}

(x - 7)^{2} - 10 = 0

2 x^{2} + 13 x + 11 = 0

4 y^{2} + 12 y - 40 = 0

2 (3 x - 4) x - 1 = - 16

What are the solutions to the equation 5x^2+10x+16=0 ?
The solutions to the equation 5x^2+10x+16=0 are x=-1+isqrt(11/5),x=-1-isqrt(11/5)
Find the zeros of 5x^2+10x+16=0
The zeros of 5x^2+10x+16=0 are x=-1+isqrt(11/5),x=-1-isqrt(11/5)