Factorise and Solve
When factoring x2 - 4, the result is this.
(x+2)(x−2)
Solve the equations by factorising:
2x2 + 6x = 0
x=0,
x= -3
Describe this equation:
5x2 + 9x - 12 = 0
What is a "Non-Monic Quadratic Trinomial Equation"
Identify a, b and c in the following equation:
x2 - 6x + 5 = 0
a = 1; b = - 6; c = 5
What law is used to solve (x-5)(x+2) =0
The null factor law
Solve the following quadratic equation
3x2 = 27
"x = 3
and
x = -3"
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
x = 5
and
x = 1
What are the three different types of solutions we can have when solving quadratics
What is "No solution, One solution or Two solutions"
What is the quadratic formula?
x = ( -b ± √(b2 - 4ac)) / (2a)
An equation written in ax2 +bx + c = 0, is in what form?
Standard Form
Or
General Form
Solve the equation:
(x - 7)(x + 2) = 0
x = 7
and
x = -2
Solve by completing the square
x2 - 6x + 1 = 0
x = 3 ± √8
The highest power of a quadratic equation
What is Power of 2.
How many solutions does the following equation have?
x2 - 9x + 20 = 0
2 solutions
State 3 different methods that could be used to solve this quadratic equation:
x2+6x+9 = 0
Completing the square
PSF
Quadratic Formula
Solve the following quadratic equation by factoring.
x2 - 3x + 2 = 0
x = 2
and
x = 1
2x2 - 8x = 6
x = 3
and
x = 1
How do we know a quadratic function does not have a solution?
What is "The Discriminant <0"
Use the quadratic formula to give exact solutions for the following equation:
x2 +3x - 6 = 0
x = (-3 ± √33) / 2
When using quadratic equations to model a problem, what is the last step to consider?
Check your solution solves the problem and answers the question in the context in which it was given.
Ensure all answers are logical.
Solve the following quadratic equation by factoring. 2x2 - 5x + 3 = 0
x = 1
and
x = 3/2
The area of a rectangle is fixed at 28 square meters. Its length is 3 metres more than its breadth. Find the dimensions of the rectangle.
What is "Breadth =4 and Length =7"
The shape of the graph of any quadratic equation.
What is "A parabola!"
Solve the following quadratic equation by using the quadratic formula: 2x2 + 9x + 4 = 0
x = -1/2
and
x = - 4
Describe the type of quadratic equation for which the discriminant equals zero.
A perfect square