What are the solutions to the equation x^2+7x+30=0 ?

The solutions to the equation x^2+7x+30=0 are x=-7/2+i(sqrt(71))/2 ,x=-7/2-i(sqrt(71))/2

Find the zeros of x^2+7x+30=0

The zeros of x^2+7x+30=0 are x=-7/2+i(sqrt(71))/2 ,x=-7/2-i(sqrt(71))/2

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x^{2} + 7 x + 30 = 0

x = - \frac{7}{2} + i \frac{71}{2}, x = - \frac{7}{2} - i \frac{71}{2}

Solution steps

x^{2} + 7 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

Simplify

7^{2} - 4 \cdot 1 \cdot 30 : 71 i

x_{1, 2} = \frac{- 7 \pm 71 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 7 + 71 i}{2 \cdot 1}, x_{2} = \frac{- 7 - 71 i}{2 \cdot 1}

x = \frac{- 7 + 71 i}{2 \cdot 1} : - \frac{7}{2} + i \frac{71}{2}

x = \frac{- 7 - 71 i}{2 \cdot 1} : - \frac{7}{2} - i \frac{71}{2}

The solutions to the quadratic equation are:

x = - \frac{7}{2} + i \frac{71}{2}, x = - \frac{7}{2} - i \frac{71}{2}

x, x^{2} - 4 y^{2} = 0

x^{2} - 20 x + 50 = 0

x^{2} - 10 + 25 = 0

4 x^{2} + 3 x = 22

9 + 8 x - x^{2}

What are the solutions to the equation x^2+7x+30=0 ?
The solutions to the equation x^2+7x+30=0 are x=-7/2+i(sqrt(71))/2 ,x=-7/2-i(sqrt(71))/2
Find the zeros of x^2+7x+30=0
The zeros of x^2+7x+30=0 are x=-7/2+i(sqrt(71))/2 ,x=-7/2-i(sqrt(71))/2