Quadratic equations always look like ax^2+bx+c=0.
When graphed, these equations make either a U or an upside-down U.
There are 4 ways to solve these equations. Graphing, Completing the Square, Factoring, and using the quadratic formula.
For Graphing, you just type the equation into desmos.
When graphed, these equations make either a U or an upside-down U.
There are 4 ways to solve these equations. Graphing, Completing the Square, Factoring, and using the quadratic formula.
For Graphing, you just type the equation into desmos.
My favorite method is completing the square, it seems to be the easiest way to solve.
x²-20x+100. First you subtract the 100 to the other side.
x²-20x = -100
then you divide the number in front of the x in half, and add to both sides.
x²-20x-10=-90
Then you take the half of the x number and put in the parentheses.
(x-10)²=-90.
And continue to solve by taking the square root of both sides.
Another way to solve is factoring.
Using the equation x²+20x+100=0. Find two numbers that add together to get -20 and multiplied together to get 100.
(x-10) (x-10)
Then, you set the equation equal to 0.
so x-10=0 and x-10=0 and solve for x.
x=10.
The last way to solve is using the quadratic formula. x=-b + or - the square root of b² - 4ac all over 2a.
in the equation x²-20x+100, a=1 b=-20 and c=100
plug the numbers in and you get x=20+ or - the square root of -20²-4(1)(100) all over 2(1)
simplify .
Overall, learning the ways to solve a quadratic equation in school is very important. Scientists use the quadratic formula to determine the path of a missile ( or a ball, but who really cares about the ball, not important), where it will reach its peak, and where it will land. This is very important because if you fire off a missile aimed for an enemy and you don't know exactly how far it can go, things could get very dangerous and unpredictable.
:-)
x²-20x+100. First you subtract the 100 to the other side.
x²-20x = -100
then you divide the number in front of the x in half, and add to both sides.
x²-20x-10=-90
Then you take the half of the x number and put in the parentheses.
(x-10)²=-90.
And continue to solve by taking the square root of both sides.
Another way to solve is factoring.
Using the equation x²+20x+100=0. Find two numbers that add together to get -20 and multiplied together to get 100.
(x-10) (x-10)
Then, you set the equation equal to 0.
so x-10=0 and x-10=0 and solve for x.
x=10.
The last way to solve is using the quadratic formula. x=-b + or - the square root of b² - 4ac all over 2a.
in the equation x²-20x+100, a=1 b=-20 and c=100
plug the numbers in and you get x=20+ or - the square root of -20²-4(1)(100) all over 2(1)
simplify .
Overall, learning the ways to solve a quadratic equation in school is very important. Scientists use the quadratic formula to determine the path of a missile ( or a ball, but who really cares about the ball, not important), where it will reach its peak, and where it will land. This is very important because if you fire off a missile aimed for an enemy and you don't know exactly how far it can go, things could get very dangerous and unpredictable.
:-)