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What are the values of the variables when y equals x plus c is a tangent to the curve y equals 3 -x -5x squared?
Wiki User
∙ 6y ago
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Scarlett Bashirian
Wiki User
∙ 6y agoIf: y = c +x and y = 3 -x -5x^2
Then: c +x = 3 -x -5x^2
Transposing terms: 5x^2 +2x +(c -3) = 0
Using tangent discriminant formula: c = 3.2
Using quadratic equation formula: x = -0.2
By substitution the value of y is: 3
Therefore the values of the variables are: c = 3.2, x = -0.2 and y = 3
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