Answer:
add 1/4 to each side
Step-by-step explanation:
x^2+x=11
We take the coefficient of the x term
1
Then divide it by 2
1/2
Then square it
(1/2) ^2 = 1/4
Add this to both sides of the equation
x^2 + x + 1/4 = 11+1/4
(x+1/2)^2 = 11 1/4
Here we use the equation

Taking points (0,4), (1,2)
Substituting the point (0,4) , we will get

Substituting (1,2) we will get

So we have

Therefore , required equation is

the x and y values makes both equations true
Explanation
a linear system is the set of 2 linear equations.
Step 1
the solution to a linear system is the coordiante where the line intersect, this coordiante satisfies both equations, then
the x and y values makes both equations true