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If: y = x+c and y = 3 -x -5x^2

Then: x+c = 3 -x-5x^2

Or: 5x^2+2x+(c-3) = 0

Using the discriminant: 2^2 -4*5*(c-3) = 0 => c-3 = -4/-20 which is 1/5

Adding 3 to both sides: c = 16/5 or 3.2

Q: What is the exact value of c when y equals x plus c is a tangent to the curve y equals 3 -x -5x squared?

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