1. To make a Quadratic Equation, you let the Expression equal zero.
Solving Quadratic Equations Remember Factorising Quadratic Expressions? +
Guide number 6
1x6
2x3
Add to 7
No Good
Add to 5
Yes! Perfect
Factorised
To make a Quadratic Equation, you let the Expression equal zero.
TRY it YOURSELF. START with

2. Get all the terms to the LHS of the equals, with zero on the RHS
Solving Quadratic Equations Remember this from Solving Linear Equations
LINEAR equations have only ONE solution for x
Try to get the x-term on its own, on one side of the equals
QUADRATIC equations have TWO solutions for x
Get all the terms to the LHS of the equals, with zero on the RHS
Solutions must balance the equation

3. Solving Quadratic Equations Show how the solutions BALANCE the equation
The two solutions here are x=2 and x=3.
Let’s do a check.
Correct!
Correct!

4. Solving Quadratic Equations x squared, x’s, number equals zero+
Can we FACTORISE ?
Guide number 6
1x6
2x3
Add to 7
No Good
Add to 5
Yes! Perfect
Factorised
(as shown earlier)
Solved
Remember Our Golden Rule
Get all the terms to the LHS of the equals, with zero on the RHS

5. GOLDEN RULE
Get all the terms to the LHS of the equals, with zero on the RHS or
Get the equation in the form x squared, x’s, number equals zero