-2
If: y = x+c and y = 3-x-5x^2
Then: x+c = 3-x-5x^2
Transposing terms: 2x+5x^2 +(-3+c) = 0
Using the discriminant: 2^2 -4*5*(-3+c) = 0
Solving the discriminant: c = 16/5 or 3.2
k = 0.1
They are +/- 5*sqrt(2)
If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x then it works out that when x = 5/8 then y = 5/2
2
Using the discriminant for a quadratic equation the value of k works out as plus or minus 12.
k = 0.1
They are +/- 5*sqrt(2)
It is (-0.3, 0.1)
(2, -2)
If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x then it works out that when x = 5/8 then y = 5/2
2
If: y = kx+1 is a tangent to the curve y^2 = 8x Then k must equal 2 for the discriminant to equal zero when the given equations are merged together to equal zero.
-2
104
Using the discriminant of b^2 -4ac = 0 the value of k works out as -2
Using the discriminant for a quadratic equation the value of k works out as plus or minus 12.
89