Solving by factoring
Quadratic formula
Solving by taking square roots
Vocabulary
100
Solve this quadratics by factoring.
x2 + 2x = 3
x2 + 2x - 3 = 0
= (x-1)(x+3) = 0
x = 1 or x = 3
100
Is this quadratic formula?
Yes
100
What do you have to do to solve quadratics equation by taking square roots after step 1?
Isolate the squared term. Then, you have to take the square roots both sides. After that, solve the square roots to get x alone.
100
What do we call the solutions to a quadratic equation?
The x-intercepts
200
To factor, the equation must be set equal to...?
ZERO
200
Solve x2 + 4x - 21 = 0 by using quadratic formula.
x = 3 or -7
200
Solve this equation by taking square roots.
x2 + 1 = 26
x2 = 25
x= 5, -5
200
What is the highest or lowest point of a quadratic function?
The vertex
300
Solve this quadratic equation by factoring.
X2 + 16 = 10x
x2 - 10x + 16 =0
(x-2)(x-8)
x = 2 or x = 8
300
Solve 2x2 -5x - 3 = 0 using the quadratic formula.
-1/2 and 3
300
Solve this equation by taking square roots.
(x-4)2 - 16 = 0
(x-4)2 = 16
x- 4 =± 4
x = 0 or 8
300
What do we call the shape of a quadratic graph?
A parabola
400
Solve this quadratics equation by factoring.
x^2+7x+15=5
(x+2)(x+5)=0
x= -2 and x = -5
400
Solve x2 -6x + 25 = 0 by using quadratic formula.
no real solutions
400
Solve for x using the square root method.
2x^2+10=210
x = 10, -10
400
Write the quadratic equation
[-b+-sqrt(b2-4ac)]/2a