- #1
Physiona
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OP warned about not using the homework template
I'm requiring help on a circle geometry question I've done.
The line L, has equation of y=0, and intersects the circle with (3,0) and radius of 29. Find the points of intersection.
My working out:
292 = 841
It's centre is 3,0,
Inserting that in circle equation gives (x-3)2+y2 = 841
Solving simultaneously,
(X-3)2 + y2 = 841 (1)
y=0 (2)
Sub (2) into (1)
(X-3)2 + 02 = 841
x2 -6x + 9 = 841
x2-6x+9-841=0
x2-6x-832=0
(X+26)(x-32)=0
X1= -26 and x2= 32
I'm stuck on what to do after this, I think I use process of elimination, however I'm not sure on the equation of y=0, as its confusing me with the zero and no other coefficients. Can someone help?
Thank you.
The line L, has equation of y=0, and intersects the circle with (3,0) and radius of 29. Find the points of intersection.
My working out:
292 = 841
It's centre is 3,0,
Inserting that in circle equation gives (x-3)2+y2 = 841
Solving simultaneously,
(X-3)2 + y2 = 841 (1)
y=0 (2)
Sub (2) into (1)
(X-3)2 + 02 = 841
x2 -6x + 9 = 841
x2-6x+9-841=0
x2-6x-832=0
(X+26)(x-32)=0
X1= -26 and x2= 32
I'm stuck on what to do after this, I think I use process of elimination, however I'm not sure on the equation of y=0, as its confusing me with the zero and no other coefficients. Can someone help?
Thank you.