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

The solutions to the equation x^2+x+2.5=0 are x=-1/2+i 3/2 ,x=-1/2-i 3/2

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

The zeros of x^2+x+2.5=0 are x=-1/2+i 3/2 ,x=-1/2-i 3/2

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x^{2} + x + 2.5 = 0

x = - \frac{1}{2} + i \frac{3}{2}, x = - \frac{1}{2} - i \frac{3}{2}

Solution steps

x^{2} + x + 2.5 = 0

Multiply both sides by

10

10 x^{2} + 10 x + 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 10 \cdot 25}{2 \cdot 10}

Simplify

1 0^{2} - 4 \cdot 10 \cdot 25 : 30 i

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

Separate the solutions

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

x = \frac{- 10 + 30 i}{2 \cdot 10} : - \frac{1}{2} + i \frac{3}{2}

x = \frac{- 10 - 30 i}{2 \cdot 10} : - \frac{1}{2} - i \frac{3}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{3}{2}, x = - \frac{1}{2} - i \frac{3}{2}

a x^{2} - x = 0

\frac{x ^{2}}{5} = x

- 2 x^{2} + 6 x - 8 = 0

x^{2} - x + 64 = 0

3 x^{2} - 6 x - 5 = 0

What are the solutions to the equation x^2+x+2.5=0 ?
The solutions to the equation x^2+x+2.5=0 are x=-1/2+i 3/2 ,x=-1/2-i 3/2
Find the zeros of x^2+x+2.5=0
The zeros of x^2+x+2.5=0 are x=-1/2+i 3/2 ,x=-1/2-i 3/2