Need a little help in this question.
Find the coordinates where the straight line y - 1 = 2x meets the curve
x^2 - 2xy + y^2 = 1.
The answer is (0, 1), (-2, -3).
How do i solve this?
Originally posted by Nathpoop:Need a little help in this question.
Find the coordinates where the straight line y - 1 = 2x meets the curve
x^2 - 2xy + y^2 = 1.
The answer is (0, 1), (-2, -3).
How do i solve this?
1st equation, make one side y, the other side the rest of the stuff.
sub that equation into the y of equation 2.
the end.
y = 2x + 1
x^2 - 2x(2x+1) + (2x+1)^2 = 1
x^2 - 4x^2 - 2x + 4x^2 + 4x + 1 = 1
x^2 + 2x = 0
x(x+2) = 0
x = 0, y = 2(0) +1
(x,y) = (0, 1)
or x + 2 = 0
x = -2 , y = 2(-2) +1
(x,y) = (-2, -3)