What are the solutions to the equation 1.6x^2+2x+2.5=0 ?

The solutions to the equation 1.6x^2+2x+2.5=0 are x=-5/8+i(5sqrt(3))/8 ,x=-5/8-i(5sqrt(3))/8

Find the zeros of 1.6x^2+2x+2.5=0

The zeros of 1.6x^2+2x+2.5=0 are x=-5/8+i(5sqrt(3))/8 ,x=-5/8-i(5sqrt(3))/8

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1.6 x^{2} + 2 x + 2.5 = 0

x = - \frac{5}{8} + i \frac{5 3}{8}, x = - \frac{5}{8} - i \frac{5 3}{8}

Solution steps

1.6 x^{2} + 2 x + 2.5 = 0

Multiply both sides by

10

16 x^{2} + 20 x + 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 16 \cdot 25}{2 \cdot 16}

Simplify

2 0^{2} - 4 \cdot 16 \cdot 25 : 203 i

x_{1, 2} = \frac{- 20 \pm 20 3 i}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- 20 + 20 3 i}{2 \cdot 16}, x_{2} = \frac{- 20 - 20 3 i}{2 \cdot 16}

x = \frac{- 20 + 20 3 i}{2 \cdot 16} : - \frac{5}{8} + i \frac{5 3}{8}

x = \frac{- 20 - 20 3 i}{2 \cdot 16} : - \frac{5}{8} - i \frac{5 3}{8}

The solutions to the quadratic equation are:

x = - \frac{5}{8} + i \frac{5 3}{8}, x = - \frac{5}{8} - i \frac{5 3}{8}

2 x^{2} - 10 x - 8 = 0

3 x^{2} + 5 x = x^{2}

11 + 0.1 x - 0.0001 x^{2} = 35

n^{2} + 14 n + 48 = 0

3 x^{2} + 12 x + 3

What are the solutions to the equation 1.6x^2+2x+2.5=0 ?
The solutions to the equation 1.6x^2+2x+2.5=0 are x=-5/8+i(5sqrt(3))/8 ,x=-5/8-i(5sqrt(3))/8
Find the zeros of 1.6x^2+2x+2.5=0
The zeros of 1.6x^2+2x+2.5=0 are x=-5/8+i(5sqrt(3))/8 ,x=-5/8-i(5sqrt(3))/8