Challenge Question
How many solutions do you expect for a quadratics?
How many solutions do you expect for a quadratics?
Learning Objectives
Beginning
To be able to solve quadratic equations from their graphs.
Developing
To be able to factorise and solve a quadratic expressions of the form x2 + bx + c = 0
Mastering
To be able to explain how to factorise and solve quadratic expressions of the form ax2 + bx + c (non-monic quadratics)
Resources
Follow these links, sketch the graphs in your book and note down where these graphs cross the x-axis.
y = x2 + 2x - 4
y = x2 - x
y = x2 + x - 7
Now plot these graphs yourself using Wolfram Alpha.
y = x2 + x
y = -x2
y = x2 - 5x - 4
y = -x2 + 2x - 4
Beginning
Introduction to some methods of solving Non-monic Quadratics