# solving quadratics project

### n^2-10n+22=-2

## steps to solve the problem..........

**1st**- make equation equal to zero in this case add 2 to both -2 and 24

**2nd**- rewrite the problem and get n^2-10n+24=0 then find the gcf so factors of 24 that and up to 10

**3rd**-then you get 6 and 4 that add up to ten , put them in parentheses and get

(n+6)(n+4)

**4th**- then take them out of parentheses and make them equal zero and isolate the N so that would look like this- n+6=0 n+4=0, n=6 n=4

**5th**-then put your answer in brackets ------ {6,4}

## Jobs that include Quadratic equations !!!!

**Military and law enforcement-**quadratic equations are used to describe the motion of objects that fly through the air so in the military you would if you work with artillery or tanks you would use quadratic equations to predict where shells will land.Police use it to determine the trajectories of bullets and to figure out the speeds in cars that have been involved in accidents

**Agriculture-**they use by finding out the optimal arrangement in boundaries to produce the biggest fields and pens giving the materials on hand,area is the length of a surface multiplied by width,this turns calculations involving areas into quadratic equations.

**science-**astronomers use quadratic equations to describe the orbits of planets,solar systems and galaxies , chemists need them in order to describe certain types of chemical reactions.