What are the solutions to the equation x^2+x+100.25=0 ?

The solutions to the equation x^2+x+100.25=0 are x=-1/2+10i,x=-1/2-10i

Find the zeros of x^2+x+100.25=0

The zeros of x^2+x+100.25=0 are x=-1/2+10i,x=-1/2-10i

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x^{2} + x + 100.25 = 0

x = - \frac{1}{2} + 10 i, x = - \frac{1}{2} - 10 i

Solution steps

x^{2} + x + 100.25 = 0

Multiply both sides by

100

100 x^{2} + 100 x + 10025 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 100 \cdot 10025}{2 \cdot 100}

Simplify

10 0^{2} - 4 \cdot 100 \cdot 10025 : 2000 i

x_{1, 2} = \frac{- 100 \pm 2000 i}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 100 + 2000 i}{2 \cdot 100}, x_{2} = \frac{- 100 - 2000 i}{2 \cdot 100}

x = \frac{- 100 + 2000 i}{2 \cdot 100} : - \frac{1}{2} + 10 i

x = \frac{- 100 - 2000 i}{2 \cdot 100} : - \frac{1}{2} - 10 i

The solutions to the quadratic equation are:

x = - \frac{1}{2} + 10 i, x = - \frac{1}{2} - 10 i

27 = 2 x - \frac{1}{73} x^{2}

A (x) = (x + 1)^{2} - 36

+ \frac{9.8 x ^{2}}{2} + 10 x + 80 = 0

x, f (6 - t) = 3 - 5 x - 2 x^{2}

5 x^{2} = - 5

What are the solutions to the equation x^2+x+100.25=0 ?
The solutions to the equation x^2+x+100.25=0 are x=-1/2+10i,x=-1/2-10i
Find the zeros of x^2+x+100.25=0
The zeros of x^2+x+100.25=0 are x=-1/2+10i,x=-1/2-10i