What are the solutions to the equation x^2+15x+60=0 ?

The solutions to the equation x^2+15x+60=0 are x=-15/2+i(sqrt(15))/2 ,x=-15/2-i(sqrt(15))/2

Find the zeros of x^2+15x+60=0

The zeros of x^2+15x+60=0 are x=-15/2+i(sqrt(15))/2 ,x=-15/2-i(sqrt(15))/2

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x^{2} + 15 x + 60 = 0

x = - \frac{15}{2} + i \frac{15}{2}, x = - \frac{15}{2} - i \frac{15}{2}

Solution steps

x^{2} + 15 x + 60 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 1 \cdot 60}{2 \cdot 1}

Simplify

1 5^{2} - 4 \cdot 1 \cdot 60 : 15 i

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

Separate the solutions

x_{1} = \frac{- 15 + 15 i}{2 \cdot 1}, x_{2} = \frac{- 15 - 15 i}{2 \cdot 1}

x = \frac{- 15 + 15 i}{2 \cdot 1} : - \frac{15}{2} + i \frac{15}{2}

x = \frac{- 15 - 15 i}{2 \cdot 1} : - \frac{15}{2} - i \frac{15}{2}

The solutions to the quadratic equation are:

x = - \frac{15}{2} + i \frac{15}{2}, x = - \frac{15}{2} - i \frac{15}{2}

a^{2} - 18 a + 81 = 0

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

x^{2} + 1.2 x = 1

x^{2} - 14 x = 11

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

What are the solutions to the equation x^2+15x+60=0 ?
The solutions to the equation x^2+15x+60=0 are x=-15/2+i(sqrt(15))/2 ,x=-15/2-i(sqrt(15))/2
Find the zeros of x^2+15x+60=0
The zeros of x^2+15x+60=0 are x=-15/2+i(sqrt(15))/2 ,x=-15/2-i(sqrt(15))/2