What are the solutions to the equation x^2+8x+37=0 ?

The solutions to the equation x^2+8x+37=0 are x=-4+sqrt(21)i,x=-4-sqrt(21)i

Find the zeros of x^2+8x+37=0

The zeros of x^2+8x+37=0 are x=-4+sqrt(21)i,x=-4-sqrt(21)i

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x^{2} + 8 x + 37 = 0

x = - 4 + 21 i, x = - 4 - 21 i

Solution steps

x^{2} + 8 x + 37 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot 37}{2 \cdot 1}

Simplify

8^{2} - 4 \cdot 1 \cdot 37 : 221 i

x_{1, 2} = \frac{- 8 \pm 2 21 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 8 + 2 21 i}{2 \cdot 1}, x_{2} = \frac{- 8 - 2 21 i}{2 \cdot 1}

x = \frac{- 8 + 2 21 i}{2 \cdot 1} : - 4 + 21 i

x = \frac{- 8 - 2 21 i}{2 \cdot 1} : - 4 - 21 i

The solutions to the quadratic equation are:

x = - 4 + 21 i, x = - 4 - 21 i

2 s - 8 = 12

27 - 9

\frac{2 + 5 i}{2 - 5 i}

2 x^{2} - 11 x y + 5 y^{2}

3 (\frac{3}{2})

What are the solutions to the equation x^2+8x+37=0 ?
The solutions to the equation x^2+8x+37=0 are x=-4+sqrt(21)i,x=-4-sqrt(21)i
Find the zeros of x^2+8x+37=0
The zeros of x^2+8x+37=0 are x=-4+sqrt(21)i,x=-4-sqrt(21)i