Search over 10,000 free study notes

If you were to factorise this quadratic to find out its roots, you would get:

(x+1)(x+2)

which gives us roots of -1 and -2.

Remember that roots are where the graph crosses the x-axis,...

x² + 8x = (x + 4)² - 16, so x² + 8x - 5 = (x + 4)² - 16 - 5 = (x + 4)² - 21, so then (x + 4)² - 21 = 0 (x + 4)² = 21 -----> ...

y = 3x - 3

x^2= 4(x^2 - 6x + 9)

x^2= 4x^2- 24x + 36

3x^2 - 24x + 36= 0

(x-2)(x-6)=0

x= 2 or x=6

Use the factorisation method.

Step 1: Rewrite (x + __ )(x + __ ) = 0

Step 2: We need to fill in the blanks. The numbers we require are -2 and -9.

Step 3: We need the values of x, so t...