What are the solutions to the equation x^2+1.2x+0.56=0 ?

The solutions to the equation x^2+1.2x+0.56=0 are x=-3/5+i(sqrt(5))/5 ,x=-3/5-i(sqrt(5))/5

Find the zeros of x^2+1.2x+0.56=0

The zeros of x^2+1.2x+0.56=0 are x=-3/5+i(sqrt(5))/5 ,x=-3/5-i(sqrt(5))/5

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x^{2} + 1.2 x + 0.56 = 0

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

Solution steps

x^{2} + 1.2 x + 0.56 = 0

Multiply both sides by

100

100 x^{2} + 120 x + 56 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 120 \pm 12 0 ^{2} - 4 \cdot 100 \cdot 56}{2 \cdot 100}

Simplify

12 0^{2} - 4 \cdot 100 \cdot 56 : 405 i

x_{1, 2} = \frac{- 120 \pm 40 5 i}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 120 + 40 5 i}{2 \cdot 100}, x_{2} = \frac{- 120 - 40 5 i}{2 \cdot 100}

x = \frac{- 120 + 40 5 i}{2 \cdot 100} : - \frac{3}{5} + i \frac{5}{5}

x = \frac{- 120 - 40 5 i}{2 \cdot 100} : - \frac{3}{5} - i \frac{5}{5}

The solutions to the quadratic equation are:

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

x^{2} + 2 x + \frac{5}{4} = 0

x^{2} + 1 = 2 x - 2

9 x^{2} - 54 x + 81 = 0

3 x^{2} + 22 x + 24 = 0

x, x^{2} + y^{2} + z^{2} + 5 x - 6 z = 0

What are the solutions to the equation x^2+1.2x+0.56=0 ?
The solutions to the equation x^2+1.2x+0.56=0 are x=-3/5+i(sqrt(5))/5 ,x=-3/5-i(sqrt(5))/5
Find the zeros of x^2+1.2x+0.56=0
The zeros of x^2+1.2x+0.56=0 are x=-3/5+i(sqrt(5))/5 ,x=-3/5-i(sqrt(5))/5