Recent content by lmamaths

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    High School How is the distance to the x-axis related to the roots of quadratic equations?

    Hi, Maybe I mean't lowest part of the curve to the x-axis, consider: y=2x^2-3x+2 Thx! Leo
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    High School How is the distance to the x-axis related to the roots of quadratic equations?

    Hi, How is the roots of a quadratic equation related to the distance from the x-axis at where the root is - where ... ax^2+bx+c=0 and ... x = (-b +- SQRT(b^2-4ac))/2 Can someone help me to establish where this distance relationship to the x-axis and the root come from? Thx! LMA
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    Undergrad Proving Odd Number of Real Roots in Cubic Equations

    Hi, A cubic equation has at least one real root. If it has more than one why are there always an odd number of real roots? Why not an even number of real roots? Can someone help me to prove this? Thx! LMA
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    High School Need proof that a cubic equation has at least one real root

    Hi, A cubic equation has at least one real root. Can someone help me to prove this? Thx! LMA
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    Undergrad How prove the maximum of 2 functions

    How to prove the maximum of 2 functions Thx Hurkyl, Yes you are correct it works for both numbers as well as functions. But what I need to know is where or how did this equation come about – that is, do you know how it was created from First Principles – and please tell me how this is done...
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    Undergrad How prove the maximum of 2 functions

    Hi, The maximum of 2 functions, namely f(x) and g(x) is defined as… M(x) = ½ [ ( f + g ) + | f – g | ] Can someone show me how this is proved out or derived please? Many Thx! :smile: