What are the solutions to the equation r^2+7r+16=0 ?

The solutions to the equation r^2+7r+16=0 are r=-7/2+i(sqrt(15))/2 ,r=-7/2-i(sqrt(15))/2

Find the zeros of r^2+7r+16=0

The zeros of r^2+7r+16=0 are r=-7/2+i(sqrt(15))/2 ,r=-7/2-i(sqrt(15))/2

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r^{2} + 7 r + 16 = 0

r = - \frac{7}{2} + i \frac{15}{2}, r = - \frac{7}{2} - i \frac{15}{2}

Solution steps

r^{2} + 7 r + 16 = 0

Solve with the quadratic formula

r_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 1 \cdot 16}{2 \cdot 1}

Simplify

7^{2} - 4 \cdot 1 \cdot 16 : 15 i

r_{1, 2} = \frac{- 7 \pm 15 i}{2 \cdot 1}

Separate the solutions

r_{1} = \frac{- 7 + 15 i}{2 \cdot 1}, r_{2} = \frac{- 7 - 15 i}{2 \cdot 1}

r = \frac{- 7 + 15 i}{2 \cdot 1} : - \frac{7}{2} + i \frac{15}{2}

r = \frac{- 7 - 15 i}{2 \cdot 1} : - \frac{7}{2} - i \frac{15}{2}

The solutions to the quadratic equation are:

r = - \frac{7}{2} + i \frac{15}{2}, r = - \frac{7}{2} - i \frac{15}{2}

16 x^{2} - 441 = 0

- 12 x^{2} + 22 x = 0

3 x^{2} + 11 x = - 6

x^{2} = 18 - 3 x

x, x^{2} + y^{2} + z^{2} = 8 z

What are the solutions to the equation r^2+7r+16=0 ?
The solutions to the equation r^2+7r+16=0 are r=-7/2+i(sqrt(15))/2 ,r=-7/2-i(sqrt(15))/2
Find the zeros of r^2+7r+16=0
The zeros of r^2+7r+16=0 are r=-7/2+i(sqrt(15))/2 ,r=-7/2-i(sqrt(15))/2