y2 = 231*231 = 53361
2
No, it equals -2xy. lrn2math
89
(x, y) = (-3, -3) or (3, 3)
k = 0.1
2
No, it equals -2xy. lrn2math
89
(x, y) = (-3, -3) or (3, 3)
i think its 3y squared
y = x - 4 x^(2) + y^(2) = 8 Hence y^(2) = 8 - x^(2) Square up the linear eq'n and substitute Hence y^(2) = ( x - 4)^(2) NB Notice the RHS is wholly squared , not individual terms. Substitute ; this eliminates 'y' ( x - 4)^(2) = 8 - x^(2) Square out the brackets x^(2) - 8x + 16 = 8 - x^(2) Collect terms 2x^(2) -8x +8 = 0 Factor 2(x^(2) - 4x + 4) = 0 (x- 2)(x - 2) = 0 Hence x = 2 ( The 'x' coordinate) . Substitute into either eq;n for 'y' y = 2 - 4 y = -2 Hence ( x,y) = ( 2,-2) ; The point of contact of the tangent and the curve.
The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.
k = 0.1
Y = X2 forms a parabola
The solutions are: x = 4, y = 2 and x = -4, y = -2
They are +/- 5*sqrt(2)
You have to put your heart into it!