standard_description: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^(2 )+ y^(2) = 3.
problem_activity: Problem 1
Solve the equation by completing the square. Show each step clearly.
$${3x^2-5x+1=0}$$
Problem 2
A quadratic equation is written below in standard, general form.
$${ax^2+bx+c=0}$$
Solve for
$$x$$
by completing the square as you did in Anchor Problem #1.
Problem 3
Recall the equation from Anchor Problem #1:
$${3x^2-5x+1=0}$$
.
Use the quadratic formula to determine the exact roots of the equation.


aligns: no