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

The solutions to the equation t^2+t+2=0 are t=-1/2+i(sqrt(7))/2 ,t=-1/2-i(sqrt(7))/2

Find the zeros of t^2+t+2=0

The zeros of t^2+t+2=0 are t=-1/2+i(sqrt(7))/2 ,t=-1/2-i(sqrt(7))/2

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t^{2} + t + 2 = 0

t = - \frac{1}{2} + i \frac{7}{2}, t = - \frac{1}{2} - i \frac{7}{2}

Solution steps

t^{2} + t + 2 = 0

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 1 \cdot 2 : 7 i

t_{1, 2} = \frac{- 1 \pm 7 i}{2 \cdot 1}

Separate the solutions

t_{1} = \frac{- 1 + 7 i}{2 \cdot 1}, t_{2} = \frac{- 1 - 7 i}{2 \cdot 1}

t = \frac{- 1 + 7 i}{2 \cdot 1} : - \frac{1}{2} + i \frac{7}{2}

t = \frac{- 1 - 7 i}{2 \cdot 1} : - \frac{1}{2} - i \frac{7}{2}

The solutions to the quadratic equation are:

t = - \frac{1}{2} + i \frac{7}{2}, t = - \frac{1}{2} - i \frac{7}{2}

x, x^{2} + 2 x y + y^{2} = 25

x^{2} + 200 x - 10000 = 0

x^{2} - 20 x = - 85

6 x^{2} - 15 x + 2 = 2 x^{2} + 10 x - 4

4 (x - 5)^{2} + 20 = 0

What are the solutions to the equation t^2+t+2=0 ?
The solutions to the equation t^2+t+2=0 are t=-1/2+i(sqrt(7))/2 ,t=-1/2-i(sqrt(7))/2
Find the zeros of t^2+t+2=0
The zeros of t^2+t+2=0 are t=-1/2+i(sqrt(7))/2 ,t=-1/2-i(sqrt(7))/2