Find the values of m for which the lines y=mx-2 are tangents to the curve with equation y=x^2-4x+2 Thanks in advance!
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the y-values of a tangent line and curve are equal at the point of tangency, plus their respective slopes are also equal ...
Ok so what does that mean, how would I find m?
Originally Posted by alexj987 Ok so what does that mean, how would I find m? exactly what I stated: y-values are equal ... and slopes are equal ...
Yes, Ive made the two equations equal each other earlier but still do not fully understand, sorry for being dull ...
have you not solved a system of equations before? substitute for in the first equation, solve for , then determine the possible value(s) for
Did that, factored and got an answer of x=1, then plugged that back into x^2-4x+2 which gives -1
your value of x is incorrect ... check your algebra. Also, you get two possible values for x.
Yes, Im sorry, ok using the quadratic formula, x=1+/-√2
try again ...
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