# How do you prove graphically that there are no/two solutions to #x^2 + y^2 = 1 and x+ y = sqrt 2 +-1/2#?

##### 1 Answer

Dec 27, 2016

See explanation.

#### Explanation:

The perpendicular p-

is

So, the equation of a tangent at

circle

Upon setting

Any parallel line

not intersect, if k >1.

In the first case,

graph{(x+y-sqrt2-1/2)(x+y-sqrt2+1/2)(x+y-sqrt2)(x^2+y^2-1)=0 [-5, 5, -2.5, 2.5]}