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What is the point of intersection of the line y equals 2x plus 5 over 4 with the curve y squared equals 10x?
Wiki User
∙ 13y ago
Point of intersection: (5/8, 5/2)
Square both sides of the first equation and merge it with the second equation to form a quadratic equation:-
4x2-5x+25/16 = 0
Solving the above using the quadratic equation formula gives x as having two poitive roots of 5/8 and substituting this into the linear equation gives y a value of 5/2.
Wiki User
∙ 13y ago
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If you mean a line of y = 2x+5/4 and a curve of y^2 = 10x Then it works out that the line touches the curve at: (5/8, 5/2)
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