SOLUTION: Y+11=2X 2X TO THE SECOND +Y TO THE SECOND = 41

Question 437133: Y+11=2X
2X TO THE SECOND +Y TO THE SECOND = 41
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
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;
.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=336 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6.23303027798234, 2.56696972201766. Here's your graph:

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