What are the solutions to the equation x^2+10x+100=0 ?

The solutions to the equation x^2+10x+100=0 are x=-5+5sqrt(3)i,x=-5-5sqrt(3)i

Find the zeros of x^2+10x+100=0

The zeros of x^2+10x+100=0 are x=-5+5sqrt(3)i,x=-5-5sqrt(3)i

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x^{2} + 10 x + 100 = 0

x = - 5 + 53 i, x = - 5 - 53 i

Solution steps

x^{2} + 10 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 100}{2 \cdot 1}

Simplify

1 0^{2} - 4 \cdot 1 \cdot 100 : 103 i

x_{1, 2} = \frac{- 10 \pm 10 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 10 3 i}{2 \cdot 1}, x_{2} = \frac{- 10 - 10 3 i}{2 \cdot 1}

x = \frac{- 10 + 10 3 i}{2 \cdot 1} : - 5 + 53 i

x = \frac{- 10 - 10 3 i}{2 \cdot 1} : - 5 - 53 i

The solutions to the quadratic equation are:

x = - 5 + 53 i, x = - 5 - 53 i

10 = 5 x

- \frac{5 ( 2 ) ^{2} ( 1 ) - 4}{2 ( 2 ) ( 1 ) ^{2}}

x^{2} + 9 x - 20 = 0

∣ x + 1 ∣ > 9

\frac{x}{5 + 9} = \frac{6}{9}

What are the solutions to the equation x^2+10x+100=0 ?
The solutions to the equation x^2+10x+100=0 are x=-5+5sqrt(3)i,x=-5-5sqrt(3)i
Find the zeros of x^2+10x+100=0
The zeros of x^2+10x+100=0 are x=-5+5sqrt(3)i,x=-5-5sqrt(3)i