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Alevel_C1C2

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4.<br />

16<br />

y<br />

14<br />

12<br />

10<br />

B4<br />

y = x 2<br />

8<br />

6<br />

4<br />

y = 8 – 2x<br />

2<br />

O<br />

4<br />

x<br />

Subtract from both sides of the equation x<br />

2x – 8 then x 2 = 8 - 2x.<br />

Solutions are x = 2, x = -4<br />

2<br />

+ 2x<br />

− 8 = 0<br />

B1<br />

A2<br />

7<br />

5. (a) Equal roots then the discriminant = 0. M1<br />

a 2 − 4× 4× 9 = 0<br />

B1<br />

a 2 = 16 × 9<br />

a < 0∴ a = −12 A1 (3)<br />

2<br />

(b) ( 3k)<br />

− 4× 9× k = 0<br />

B1<br />

2<br />

9k<br />

− 36k<br />

= 0<br />

B1<br />

9kk<br />

( − 4)<br />

= 0<br />

M1<br />

k ≠ 0∴ k = 4 A1 (4)<br />

7<br />

© Oxford University Press 2008<br />

Core C1

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