# Practice Questions For: C1 - Quadratic Equations

A Set of practice questions on quadratic equations and graphs. Remember, A good diagram is even more important when the questions get more difficult and more complicated.

- Created by: lukedando
- Created on: 07-05-15 07:53

First 206 words of the document:

Homework 5

A good diagram is even more important when the questions get more

difficult and more complicated.

1. Solve x2

2x 8 > 0

2. Solve x2

6x + 5 > 0

3. Solve the simultaneous equations

x + y2

= 10 and x 2y = 2

4. Find the set of values of x for which

(a )3(2x+ 1) > 5 2 x ,

(b ) 2x2

7

x + 3 > 0,

(c )both3(2 x + 1) > 5 2x and

2x2

7x+ 3 > 0.

5. The line Lhas equation 2x+y= 9.

(a) Solve the simultaneous equations

2x+y=9 and (x 2)2 + y2 = 5.

(b) Hence state the nature of the geometrical relationship between

the line Land the circle which has equation (x 2)2 + y2=5

6. The point P(1, a) lies on the curve with equation y= (x+ 1)2

(2

x).

(a) Find the value of a .

(b) Sketch the curves with the following equations:

(i) y = (x+ 1)2

(2

x ),

(ii) y= .

On your diagram show clearly the co-ordinates of any points at which the

curves meet the axes.

(c) With reference to your diagram in part (b), state the number of real

solutions to the equation

(x+ 1)2

(2

x)= .

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