Question

Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary

f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3

Answer 1

We will solve these through graphical way .

• y=-0.5x+2

Find some coordinates

• (0,2)
• (1,1.5)
• (-1,2.5)

And

• y=x³-5x²+3

Find some coordinates

• (0,3)
• (1,-1)
• (-1,-3)

Graph both

The intersection points are

• (0.532,1.734)
• (-0.387,2.193)
• (4.855,-0.427)