# Curve and line

The equation of a curve C is y=2x² -8x+9 and the equation of a line L is x+ y=3

(1) Find the x co-ordinates of the points of intersection of L and C.
(2) Show that one of these points is also the stationary point of C?

Correct result:

a1 =  2
a2 =  1.5
b =  2

#### Solution:

Our quadratic equation calculator calculates it.

$a_{2}=x_{2}=1.5=\dfrac{ 3 }{ 2 }$
$4b-8=0 \ \\ 4b=8 \ \\ b=8 / 4=2 \ \\ =2$

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Tips to related online calculators
For Basic calculations in analytic geometry is a helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
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