Algebra L3 Sample Pages

These are sample pages for the Edexcel Algebra Award Level 3 workbook.

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  • Created on: 04-04-13 16:56
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Chapter 4 Quadratic equations
4 Solve by completing the square.
Step into AS
a (x 2 4)(x 1 2) 5 5 b 2x 2 1 6x 2 7 5 0 c x 2 2 5x 1 3 5 0
x5 or x 5 x5 or x 5 x5 or x 5
Needs more practice Almost there I'm proficient!
AS LINKS
Solving by using the formula C1: 2.5 Solving
4.3
quadratic
equations by us
ing the
By the end of this section you will know how to: formula
Solve quadratic equations by using the formula
Key points
Any quadratic equation of the form ax 2 1 bx 1 c 5 0 can be solved using the formula
________
2b 6 b 2 4ac
2
x 5 _______________
2a
2
If b 2 4ac is negative then the quadratic equation does not have any real solutions.
It is useful to write down the formula before substituting the values for a, b and c.
Hint
1 Solve x 2 1 6x 1 4 5 0 Identify a, b an 2 Solve 3x 2 2 7x 2 2 5 0
Guided
d
Give your solutions in surd form. c and substitut
e
Give your solutions in surd form.
them into the
formula.
a 5 1, b 5 6, c 5 4 a5 , b 5 27, c 5
_________________________ _________________
2( ) 6 ( 2
) 24 6 2
x5 x5
2 2
____________ ____________
6 2 6 2
x5 x5
_____ _____
6 6
x5 x5
____________ _____ _____
6 1 2
x5 x5 or x 5
_____ _____
1 2
x5 or x 5 The solutions are x 5 or x 5
The solutions are x 5 or x 5
23

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Chapter 4 Quadratic equations
3 Solve, giving your solutions in surd form.
Practice
a 3x 2
1 6x 1 2 5 0 b 2x2 2 4x 2 7 5 0
x5 or x 5 x5 or x 5
4 Solve, giving your solutions in surd form.…read more

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