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Slide 2

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Quadratic Equations
2
+ these have x terms, x terms and
normal numbers
2
+ some are easy to solve eg. x =
25
+ some are harder to solve ; there
are 2 ways to solve quadratic
equations;…read more

Slide 3

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Quadratic Equations
`the' formula
2
a = no. of x `s b = no. of x's c = the
number on it's own…read more

Slide 4

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Remember to run `the'
2
eg. Solve; 3x + 4x -7 =0 formula twice: once
where you add
a=3 b=4 c=7 b2 - 4ac and then
again where you
subtract b2 - 4ac
x = -4 + 42 - 4 - 3 + -7 x = -4 - 42 - 4 - 3 + -7
2x3 2x3
x = -4 + 10 x = -4 - 10
6 6
x=1 or x = -2.333
Remember to substitute your x values back into the original quadratic
expression to work out your y values.…read more

Slide 5

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Quadratic Equations
+ putting into brackets
2
eg. Factorise 4x + 8x + 3
Hence solve 4x2 + 8x + 3 = 0
2x +1 Put these
clues in
2x 4x2 2x
first
+3 6x +3 (2x + 1) (2x +
3) ; 1 and
Factors…read more

Slide 6

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Quadratic Equations
eg. Factorise 4x2 + 8x + 3
2
Hence solve 4x + 8x + 3 = 0
The two
(2x + 1) (2x + =0 brackets
multiplied
3)
So, ONE must equal zero equals
(2x + 1) (2x + 3) zero
x = 0.5 or x = 1.5…read more

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