Question
An example of a quadratic equation with a root of one
With a graph
With a graph
Answers
GPT 3.5
An example of a quadratic equation with a root of one and its graph is:
Equation: y = (x - 1)(x + 2)
Graph:
The graph of this quadratic equation is a parabola that opens upwards. The x-intercepts of this equation can be found by setting y = 0:
0 = (x - 1)(x + 2)
Setting each factor equal to zero gives:
x - 1 = 0 (x + 2 = 0)
Solving for x, we find the roots of the equation are x = 1 and x = -2.
Since x = 1 is one of the roots, it satisfies the condition of having a root of one.
Equation: y = (x - 1)(x + 2)
Graph:
The graph of this quadratic equation is a parabola that opens upwards. The x-intercepts of this equation can be found by setting y = 0:
0 = (x - 1)(x + 2)
Setting each factor equal to zero gives:
x - 1 = 0 (x + 2 = 0)
Solving for x, we find the roots of the equation are x = 1 and x = -2.
Since x = 1 is one of the roots, it satisfies the condition of having a root of one.