Graph the following system and determine the number of pointsin the solution set

Question

Graph the following system and determine the number of pointsin the solution set. (You do not have to find the points in thesolution set, just determine how many there are.) Show allwork.                                                          x^2- 4x + 4y^2 =0                                                          x - 2y =2 Graph the following system and determine the number of pointsin the solution set. (You do not have to find the points in thesolution set, just determine how many there are.) Show allwork.                                                          x^2- 4x + 4y^2 =0                                                          x - 2y =2

Explanation / Answer

x^2 - 4x + 4y^2 =0       x - 2y =2
SO PUT
y = [x-2] /2

put in 1
x^2 - 4x + 4(x-2)^2/4 = 0
x^2 - 4x + (x-2)^2 = 0
2x^2 - 8x + 4 =0

so x= [8±(8^2-4*2*4)]/4
        = 2 ±2

so for x = 2 + 2
y = 1/2

for x= 2-2
y = -1/2

so two points are there

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