SOLUTION: for what values of k does the system of equations y=x^2-3x+5 , y=kx have only 1 solution? leave your answers in exact form. Please help me with this question or atleast give me a

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Question 933103: for what values of k does the system of equations y=x^2-3x+5 , y=kx
have only 1 solution? leave your answers in exact form.
Please help me with this question or atleast give me a hint.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
by substitution.




The expression for that equation's discriminant is .
Discriminant value of 0 means the quadratic equation is a perfect square on the left side member, the quadratic expression.







, either of these two values for k so that the two given equations meet in exactly one point.

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