Solving Quadratics 2

Maths: Edexcel IGCSE Higher, topic 2.4.2

Solving Quadratics - Complete the Square

Complete the square to find solutions to x2 + 6x + 4 = 0:

Write the equation

Write the equation

Complete the square

Complete the square

Rearrange

Rearrange

Square root

Square root

Rearrange for x

Rearrange for x

These are the two solutions

These are the two solutions

Completing the Square

Completing the square for y = 2x2 + 12x + 5:

Write the equation

Write the equation

Factor out the x² term

Factor out the x² term

Half the x coefficient and put it in the bracket like this

Half the x coefficient and put it in the bracket like this

Expand

Expand

We need to minus 13 from the red equation to get the purple

We need to minus 13 from the red equation to get the purple

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