- a.To solve the given equation graphically, let y 1 = 4x^2 ,y 2 = 20x– 24. Graph these on the same set of axes
and identify the points of intersection:
The x-coordinates of the points of intersection are the solutions of the original equation. The solutions
are x= 2, 3.
60
54
48
42
36
30
24
18
12
6
–6 0.5^1 1.5^2 2.5^3 3.5^4 4.5^5
60
54
48
42
36
30
24
18
12
6
–5 –4 –3 –2 –1 –6 1 2 3 4 5
–12
y^1 y^2 y^1 y^2
ANSWERS & EXPLANATIONS–
- c.To solve the given equation graphically, let
y 1 = 12x– 15x^2 ,y 2 = 0. Graph these on the
same set of axes and identify the points of
intersection:
The x-coordinates of the points of intersection
are the solutions of the original equation, so
the solutions are x= 0, 1.25.
- c. To solve the equation graphically, let y 1 =
(3x– 8)^2 ,y 2 = 45. Graph these on the same set
of axes and identify the points of intersection:
The x-coordinates of the points of intersection
are the solutions of the original equation. We
conclude that the solutions are approximately
x= 3.875, 4.903.
60
50
40
30
20
10
–4 –3 –2 –1 1 2 3 4 56
–10
y^1
y^2
4
3
2
1
–7
–8
–9
–10
–1
–2
–3
–4
–5
–6
–2 –1 1 2
y^1
y^2
