Question 437133
We're told:
y+11=2x
Subtracting 11 from both sides:
y = 2x -11
.
We're told:
x^2 + y^2 = 41
.
Substitute y = 2x-11:
x^2 + (2x-11)^2 = 41
x^2 + 4x^2 -44x + 121 = 41
5x^2 -44x +80 = 0
.
This will not factor easily, so you can use the quadratic equation;
.
*[invoke quadratic "x", 5, -44, 80 ]