What are the solutions to the equation x^2+7x+15=0 ?

The solutions to the equation x^2+7x+15=0 are x=-7/2+i(sqrt(11))/2 ,x=-7/2-i(sqrt(11))/2

Find the zeros of x^2+7x+15=0

The zeros of x^2+7x+15=0 are x=-7/2+i(sqrt(11))/2 ,x=-7/2-i(sqrt(11))/2

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x^{2} + 7 x + 15 = 0

x = - \frac{7}{2} + i \frac{11}{2}, x = - \frac{7}{2} - i \frac{11}{2}

Solution steps

x^{2} + 7 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 1 \cdot 15}{2 \cdot 1}

Simplify

7^{2} - 4 \cdot 1 \cdot 15 : 11 i

x_{1, 2} = \frac{- 7 \pm 11 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 7 + 11 i}{2 \cdot 1}, x_{2} = \frac{- 7 - 11 i}{2 \cdot 1}

x = \frac{- 7 + 11 i}{2 \cdot 1} : - \frac{7}{2} + i \frac{11}{2}

x = \frac{- 7 - 11 i}{2 \cdot 1} : - \frac{7}{2} - i \frac{11}{2}

The solutions to the quadratic equation are:

x = - \frac{7}{2} + i \frac{11}{2}, x = - \frac{7}{2} - i \frac{11}{2}

(x + 7)^{2} = 9

3 x^{2} + 4 x + 7 = - 1

x^{2} - \frac{1}{2} x + 1

(x + 1)^{2} = 11

x^{2} + 13 = 17

What are the solutions to the equation x^2+7x+15=0 ?
The solutions to the equation x^2+7x+15=0 are x=-7/2+i(sqrt(11))/2 ,x=-7/2-i(sqrt(11))/2
Find the zeros of x^2+7x+15=0
The zeros of x^2+7x+15=0 are x=-7/2+i(sqrt(11))/2 ,x=-7/2-i(sqrt(11))/2