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New posts in algebra-precalculus
Prove that if $({x+\sqrt{x^2+1}})({y+\sqrt{y^2+1}})=1$ then $x+y=0$
algebra-precalculus
proof-verification
radicals
How do you factor a quadratic expression, without using the formula?
algebra-precalculus
quadratics
Radical equation $\sqrt{x+1}+\sqrt{x-1}-\sqrt{x^2 -1}=x$
algebra-precalculus
radicals
Proof of an inequality using analytic geometry
algebra-precalculus
proof-verification
inequality
proof-writing
analytic-geometry
The sum of powers of $2$ between $2^0$ and $2^n$
algebra-precalculus
summation
geometric-progressions
Number Theory or Algebra?
algebra-precalculus
elementary-number-theory
prime-numbers
summation of determinants of $3\times3$ matrices
matrices
algebra-precalculus
A very small disc winds around a larger circular disc of radius $R$ connected to it by a string. How long is the spiral it travels?
calculus
geometry
algebra-precalculus
differential-geometry
Khayyam's work on cubic equations
algebra-precalculus
polynomials
math-history
Derivative of a quotient inside a square root
algebra-precalculus
derivatives
radicals
Find the value of $x_1^6 +x_2^6$ of this quadratic equation without solving it
algebra-precalculus
quadratics
symmetric-polynomials
How can we composite two piecewise functions?
algebra-precalculus
Why is the slope of a line defined the way it is.
algebra-precalculus
Sum of reciprocals of the triangle numbers
sequences-and-series
algebra-precalculus
summation
Solve $\sqrt{1 + \sqrt{1-x^{2}}}\left(\sqrt{(1+x)^{3}} + \sqrt{(1-x)^{3}} \right) = 2 + \sqrt{1-x^{2}} $
algebra-precalculus
polynomials
contest-math
A possible solution to $\sqrt {5-x}=5-x^2$ (without taking square from both sides)
algebra-precalculus
polynomials
solution-verification
radicals
functional-equations
An Interesting Question I Posed to Myself About $\pi$ as an Average.
sequences-and-series
algebra-precalculus
limits
elementary-number-theory
pi
Sum the series $\frac{3}{1⋅2⋅4}+\frac{4}{2⋅3⋅5}+ \frac{5}{3⋅4⋅6}+...\text{(upto n terms)}$
sequences-and-series
algebra-precalculus
summation
Proving if it is possible to write 1 as the sum of the reciprocals of x odd integers
algebra-precalculus
elementary-number-theory
summation
rational-numbers
What is the constant function, exactly?
algebra-precalculus
definition
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