Recent content by gibguitar

Here's my second stab at it... -1x+k = 1/x-1 Rearranged: -x^2+kx-1 Using the discriminant of the quadratic formula: (b^2-4ac) a=-1 b=k^2 c=-1 k^2-4(-1)(-1)=0 Solving: k = -2 Therefore the equation is y=-1x-2 For the line with a slope of -1 that is tangent to the curve of 1/x-1 Can anybody...

(-x+k)(x) = -x^2+k(x) (1/x-1)(x) = ? You're right, but I'm confused as to how to multiply the second part? x/x^2-x ?

Homework Statement Find the equation of the line with slope -1 that is tangent to the curve y=1/x-1 Homework Equations y=1/x-1 The Attempt at a Solution Slope of -1 means y=-1x+k So... -1x+k = 1/x-1 I don't know how to rearrange this into a quadratic equation so that I...

I actually got the answer using remainder theorem! I will put the answer here for future reference in case anyone in the future needs help! Remainder when divided by x+2 is f(-2) Remainder when divided by x-1 is f(1) f(-2) =a(-2)³-4(-2)²+5(-2)-3 f(-2) = -8a -16 -10 -3 = -8a -29 f(1) =...

Ahh... makes sense... well, I could do trial and error and finally come up with an answer, but that would take too long, I'm assuming there's a better way. I did what you said and when I divided: (x+2) into x^3-4x^2+5x-3 = x^2-6x+17 remainder: -37 (x-1) into x^3-4x^2+5x-3 = x^2-3x+2...

Okay thanks. I guess the question now is, how to do I do long division of polynomials with two variables?

Polynomial functions... find "a" Homework Statement When ax3 - 4x2 + 5x - 3 is divided by (x+2) and (x-1), the remainders are equal. Find a. Don't know where to start. A little help? Hints?

Thanks a lot guys, this is a great forum. I am now considering doing Geomatics Engineering... but it's so intimidating, especially for a guy who has no faith in his math abilities. But an engineering degree compared to a sciences degree would more likely help me get hired by an oil or mining...

Hi guys, I'm new here. I'm currently an English major in my first year and I've been thinking about what kind of job and salary I will end up with this kind of degree and I've been seriously considering switching my major to Earth Sciences. I have an interest in science and geology but math...