What are the solutions to the equation x^2+10x+45=0 ?

The solutions to the equation x^2+10x+45=0 are x=-5+2sqrt(5)i,x=-5-2sqrt(5)i

Find the zeros of x^2+10x+45=0

The zeros of x^2+10x+45=0 are x=-5+2sqrt(5)i,x=-5-2sqrt(5)i

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x^{2} + 10 x + 45 = 0

x = - 5 + 25 i, x = - 5 - 25 i

Solution steps

x^{2} + 10 x + 45 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 45}{2 \cdot 1}

Simplify

1 0^{2} - 4 \cdot 1 \cdot 45 : 45 i

x_{1, 2} = \frac{- 10 \pm 4 5 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 4 5 i}{2 \cdot 1}, x_{2} = \frac{- 10 - 4 5 i}{2 \cdot 1}

x = \frac{- 10 + 4 5 i}{2 \cdot 1} : - 5 + 25 i

x = \frac{- 10 - 4 5 i}{2 \cdot 1} : - 5 - 25 i

The solutions to the quadratic equation are:

x = - 5 + 25 i, x = - 5 - 25 i

x^{2} - 19 x + 23 = 0

y^{2} = 4 y + 12

x^{2} + 12 x - 4

t, d = - 3 t^{2} + 12 t - 7

x^{2} - 2 x + 7 = 3

What are the solutions to the equation x^2+10x+45=0 ?
The solutions to the equation x^2+10x+45=0 are x=-5+2sqrt(5)i,x=-5-2sqrt(5)i
Find the zeros of x^2+10x+45=0
The zeros of x^2+10x+45=0 are x=-5+2sqrt(5)i,x=-5-2sqrt(5)i