Advanced Algebra: Quadratic Equations
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is
ax
2 +
bx +
c = 0
where a ≠ 0. (For a = 0, the equation becomes a linear equation.)
The letters
a,
b, and
c are called coefficients: the quadratic coefficient
a is the coefficient of x
2, the linear coefficient
b is the coefficient of x, and
c is the constant coefficient, also called the free term or constant term.
Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared.
Worksheets
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Our
quadratic equations videos replace text-based tutorials and give you better step-by-step explanations of quadratic equations. Watch each video repeatedly until you understand how to approach quadratic equations problems and how to solve them.
- Hundreds of video tutorials on quadratic equations make it easy for you to better understand the concept.
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Advanced Algebra: Quadratic Equations Videos
Finding Equation Of A Circle By Completing The Square 2
Video Clip Length: 6 minutes 5 seconds
Video Clip Views: 26579
circle equation, circles, completing the square, curves, equations, plane figures, quadratic equations, shapes, solving equations, solving quadratic equations
Finding The Center And Radius Of A Circle By Completing The Square
Video Clip Length: 5 minutes 29 seconds
Video Clip Views: 20898
center, circles, completing the square, curves, equations, plane figures, quadratic equations, radius, shapes, solving equations, solving quadratic equations
Finding Equation Of A Circle By Completing The Square
Video Clip Length: 5 minutes 42 seconds
Video Clip Views: 13716
circle equation, circles, completing the square, curves, equations, plane figures, quadratic equations, shapes, solving equations, solving quadratic equations
Advanced Algebra: Quadratic Equations Worksheets
Advanced Algebra: Quadratic Equations Word Problems
completing the square
The path of the ball for many golf shots can be modeled by a quadratic function. The path of a golf ball hit at an angle of about 10 degrees to the horizontal can be modeled by the function, h= -0.002d
2 + 0.4d, where h is the height of the ball, in meters, and d is the horizontal distance the ball travels, in meters, until it first hits the ground.
a) What is the maximum height reached by the ball?
b) What is the horizontal distance of the ball from the golfer when the ball reaches its maximum ...
A ball is shot into the air
A ball is shot into the air. It's height , h in metres after t seconds is modeled by h=-4.9t
2 + 30t +1.6...
Advanced Algebra: Quadratic Equations Practice Questions
Graph the quadratic formula
y = (-1/3) (x+1)
2 + 2
Graph the quadratic equation
y = 2 (x-2)
2 + 1
In the quadratic formula, if b
2 - 4ac is less than 0...
In the quadratic formula, if b
2 - 4ac is greater than 0...
What is b
2 - 4ac called in the quadratic formula?
x
2-8x+12=0
h=-0.0425d
2+3.57d
2x+y=3y
m=4n
3m-2n=20
x+y=5 and 2x-3y=4
y=2x
2-4x-15
x
2-8x+11
y = 5x - 6
y = 9x - 7
x = y - 1
y = 4 -2x
Write a quadratic equation having the given numbers as solutions. -9 and -4
8c-d=-3
4c-5d=15
x
2-8x+12=0
y=x
2-3x-10
2x+y=10
y=3x
5x+4y=-35
y=2x+1
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