Recent content by Wildcat

I took the derivative of 4m^2 - 2m -4 to get m=1/4. I showed this to my instructor and this is the reply I got. Good observation! then, you just consider m>=2 or m<=-1, and find the minimum value of function y=4m^2-2m-4. It is solvable I'm not sure what he means by this. I looked at...

Ok after I fixed my error and set it = to 0 I get m= 2 or -1 Right??

Yes I did make an error. Thank you.

so a=1, b=-2m and c=m+2 then using the formula you get m±√m^2 - m + 2 ??

OK let me try that. add the roots and multiply by a to get b (keep the sign of b)and multiply the roots and multiply by a to get c?

substitute x1 into the equation to get x1^2 -2mx1 +m+2 Substitute x2 to get x2^2 -2mx2 +m+2 set them = to each other and solve for m x1^2 -2mx1 + m + 2 = x2^2 -2mx2 +m + 2 so x1^2 - 2mx1 = x2^2 -2mx2 then x1^2 -x2^2 = m2(x1 - x2) then factor and divide to get m=(x1 + x2)/2

Homework Statement 4. If x1, x2 are two real number roots of real number coefficient quadratic equation: $$x^2 -2mx + m + 2 =0$$ Solve the following questions: (1) What are the values of m so that x1=x2? (2) What are the...

OK so $$c^2 -2c +1 =0$$ then (c-1)(c-1)=0 implies c=1 so $$a^2 + b^2 =1$$ Right??

given a*(1-b^2)^1/2 +b(1-a^2)^1\2 =1 prove a^2 + b^2 =1 I tried squaring both sides and then squaring again to get a^4 + b^4 -2b^2 -2a^2 +2a^2b^2 +1 =0 and that could be (a^2 + b^2)(a^2 + b^2) - 2(a^2 + b^2) = -1 I don't know where to go from there and not sure this is even correct...

Thanks!

Thanks! I need to take a class on number theory!

Homework Statement A square of perimeter 20 is inscribed in a square of perimeter 28. What is the greatest distance between a vertex of the inner square and a vertex of the outer square. Homework Equations The Attempt at a Solution I have a question. Can a square be inscribed in...

Homework Statement Find the two smallest positive integers(different) having the remainders 2,3, and 2 when divided by 3,5, and 7 respectively. Homework Equations The Attempt at a Solution I got 23 and 128 as my answer. I tried using number theory where I started with 7x +2 as...

Ok, I don't see where I can calculate any areas with the information I have unless I'm missing something. Will I need to construct another segment?

Homework Statement In triangle ABC, the median from C meets AB at D. Through M, the midpoint of CD, line AM is drawn meeting CB at P. If CP=4, find CB. Homework Equations The Attempt at a Solution I constructed this drawing on GSP and found CB to be 12. I'm trying to show...