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 coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C?

Correct answer:

a1 =  2
a2 =  1.5
b =  2

Step-by-step explanation:

3x=2 x28 x+9  3x=2 x28 x+9 2x2+7x6=0 2x27x+6=0  a=2;b=7;c=6 D=b24ac=72426=1 D>0  x1,2=2ab±D=47±1 x1,2=47±1 x1,2=1.75±0.25 x1=2 x2=1.5 a1=x1=2

Our quadratic equation calculator calculates it.

4b8=0 4b=8 b=8/4=2

4b-8 = 0

4·b-8 = 0

4b = 8

b = 8/4 = 2

b = 2

Our simple equation calculator calculates it.

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