# A point and an equation

Algebra Level 3

there is a point on the cartesian plane, which, when joined to the origin, makes an angle of $$45^\circ$$ with the x axis.

the coordinates of this point is $$(a,b)$$, and $$a$$ and $$b$$ are the zeroes of the equation $$cx^2+dx+e=0$$ and $$ex^2+dx+c=0$$.

it is provided that $$d<0$$ and $$c>0$$.

find c+d+e+1.

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