the line with equation y=x+ intersects the circle ( equation (x-6)^2 + (y-3)^2 = 5^2, centre = (6,3), radius =5) at points p and q.
shwo that the x coordinates of p and q satisfy the equation x^2 - 5x + 6 +0
and then find the coordinates of p and q
Update:y=x+4 sorry
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ok
as the points are on both line and the circle so
y=x+4
(x-6)^2+(x+4-3)^2=5^2
x^2-12x +36 + x^2 +2x+1 =25
2x^2 -11x +12 =0
(2x- 3 ) (x -4 ) = 0
x=3/2 or x=4
so y=5.5 or y=8
so p=(1.5,5.5) , q=(4,8)
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I don't know what do u want next?
(x-6)^2 + (y-3)^2 = 5^2;
since y=x,
(x-6)^2 + (x-3)^2 = 5^2
x^2-12x+36 + x^2-6x+9 = 25
2x^2 -18x +20 = 0
x^2 - 9x + 10 = 0
I don't get your answer
What is the equation of the line? y=x+ ????
y = x + ?