Intersection of Q2 with 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.
(ii) show that one of these points is also the

Correct answer:

x1 =  2
x2 =  1.5
s =  2

Step-by-step explanation:

C: y=2x²  8x +9 L: x + y = 3 L: y= 3x  y1=y2  2 x28 x+9=3x  2 x28 x+9=3x 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

Our quadratic equation calculator calculates it.

C: f(x)=dy/dx = 4x8 f(s)=0  4s8=0  4 s8=0  4s=8  s=48=2  s=2

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