What are the solutions to the equation x^2+x+15=0 ?

The solutions to the equation x^2+x+15=0 are x=-1/2+i(sqrt(59))/2 ,x=-1/2-i(sqrt(59))/2

Find the zeros of x^2+x+15=0

The zeros of x^2+x+15=0 are x=-1/2+i(sqrt(59))/2 ,x=-1/2-i(sqrt(59))/2

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x^{2} + x + 15 = 0

x = - \frac{1}{2} + i \frac{59}{2}, x = - \frac{1}{2} - i \frac{59}{2}

Solution steps

x^{2} + x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot 15}{2 \cdot 1}

Simplify

1^{2} - 4 \cdot 1 \cdot 15 : 59 i

x_{1, 2} = \frac{- 1 \pm 59 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 59 i}{2 \cdot 1}, x_{2} = \frac{- 1 - 59 i}{2 \cdot 1}

x = \frac{- 1 + 59 i}{2 \cdot 1} : - \frac{1}{2} + i \frac{59}{2}

x = \frac{- 1 - 59 i}{2 \cdot 1} : - \frac{1}{2} - i \frac{59}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{59}{2}, x = - \frac{1}{2} - i \frac{59}{2}

x^{2} - 16 x = 17

12 x^{2} - 20 x + 7 = 0

3 r^{2} - 2 r - 1 = 0

(x + 4) (3 x - 7) = 0

- 12 x^{2} + 24 x = 0

What are the solutions to the equation x^2+x+15=0 ?
The solutions to the equation x^2+x+15=0 are x=-1/2+i(sqrt(59))/2 ,x=-1/2-i(sqrt(59))/2
Find the zeros of x^2+x+15=0
The zeros of x^2+x+15=0 are x=-1/2+i(sqrt(59))/2 ,x=-1/2-i(sqrt(59))/2