List questions from algebra-precalculus

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Help with Algebra Manipulation

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Looking for a systematically flattening function

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Solve $e^x + e^y = 20$ for $y$

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How do we make $A(x+1)(x^2+4x+5)+B(x^2...$ to be equal to $2x^2$??

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Inequality Word Problem Help Me Please

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Show that $x^3 - 2 x^2 +\log(1+x)(x(3x+4) -2(1+x)^2 \log(1+x))$ is positive

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Show that at least one of the equations $x^2+b_1x+c_1 = 0$ and $x^2+b_2x+c_2 = 0$ has two real root.

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Conceptual problem in Theory Of Equations

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Prove: $(a+b) \sqrt {ab}+(a+c) \sqrt {ac}+(b+c)\sqrt {bc}≥ \frac {(a+b+c)^2}{2}$

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Does f(3x) = 3f(x)?

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Solving the equation in which include sum of digits.

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Parabolic Angry Birds

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How to write the proof for $|x|>a \implies x >a$ or $x<-a$

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If $a<b<c<d$ , then the roots of the equation, $(x-a)(x-c)+2(x-b)(x-d)=0$ are real and distinct.

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Problem and Theory books for Sixth Term Examination Paper.

Help with Algebra Manipulation

Looking for a systematically flattening function

Solve $e^x + e^y = 20$ for $y$

How do we make $A(x+1)(x^2+4x+5)+B(x^2...$ to be equal to $2x^2$??

Inequality Word Problem Help Me Please

Show that $x^3 - 2 x^2 +\log(1+x)(x(3x+4) -2(1+x)^2 \log(1+x))$ is positive

Show that at least one of the equations $x^2+b_1x+c_1 = 0$ and $x^2+b_2x+c_2 = 0$ has two real root.

Conceptual problem in Theory Of Equations

Prove: $(a+b) \sqrt {ab}+(a+c) \sqrt {ac}+(b+c)\sqrt {bc}≥ \frac {(a+b+c)^2}{2}$

Does f(3x) = 3f(x)?

Solving the equation in which include sum of digits.

Parabolic Angry Birds

How to write the proof for $|x|>a \implies x >a$ or $x<-a$

If $a<b<c<d$ , then the roots of the equation, $(x-a)(x-c)+2(x-b)(x-d)=0$ are real and distinct.

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