ANSWERS & EXPLANATIONS–
- b.To solve the equation graphically, let y 1 = ^16 x^2 – ^53 x+ 1,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. We conclude
that the solutions are approximately x= 0.641, 9.359.
- c.To solve the equation graphically, let y 1 = (2x+ 1)^2 – 2(2x+ 1) – 3,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. The solutions
are x= –1, 1.
y^1
–4–3–2–1 1 2 3 4 y^2
–2
–4
10
8
6
4
2
y^2
y^1
10
8
6
4
2
–2
–9 –6 –3 3 6 9 12 15 18
–4
