Move the -5 over by adding 5 to both sides
3x^2+4x+5=0
must use quadratic formula
for an equation in the form
ax^2+bx+c=0
x=
![\frac{-b+/- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
a=3
b=4
c=5
x=
![\frac{-4+/- \sqrt{4^2-4(3)(5)} }{2(3)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%20%5Csqrt%7B4%5E2-4%283%29%285%29%7D%20%7D%7B2%283%29%7D%20)
x=
![\frac{-4+/- \sqrt{16-60} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%20%5Csqrt%7B16-60%7D%20%7D%7B6%7D%20)
x=
![\frac{-4+/- \sqrt{-44} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%20%5Csqrt%7B-44%7D%20%7D%7B6%7D%20)
x=
![\frac{-4+/- 2\sqrt{-11} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%202%5Csqrt%7B-11%7D%20%7D%7B6%7D%20)
remember that√-1=i
x=
![\frac{-4+/- 2i\sqrt{-11} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%202i%5Csqrt%7B-11%7D%20%7D%7B6%7D%20)
x=
![\frac{-2+/- i\sqrt{-11} }{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2%2B%2F-%20i%5Csqrt%7B-11%7D%20%7D%7B3%7D%20)
x=
![\frac{-2+ i\sqrt{-11} }{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2%2B%20i%5Csqrt%7B-11%7D%20%7D%7B3%7D%20)
or x=
The maximum height of the baseball. Hope this helped :)
The sum of the magnitudes will be the magnitude of the sum when the vectors have the same direction.
The correct answer is D? Its the only one that makes sense.