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If $a$ and $b$ be the roots of the quadratic equation $x^2-6x+4=0$ then find the value of given expression.
algebra-precalculus
quadratics
Proving that this function has the same value for all integers $\geq4$. [duplicate]
algebra-precalculus
number-theory
elementary-number-theory
functions
functional-equations
Prove:$|x-1|+|x-2|+|x-3|+\cdots+|x-n|\geq n-1$
algebra-precalculus
inequality
absolute-value
Did I just discover a new way to calculate the signature of a matrix?
linear-algebra
matrices
algebra-precalculus
symmetric-matrices
matrix-congruences
If $f(x + 1) + f(x − 1) = f(x), \forall x \in \mathbb{R}$,then how to find $k$ such that $f(x + k) = f(x)$?
algebra-precalculus
functions
Is there a rule for $\sqrt{a+b}$?
algebra-precalculus
Why is the derivative of sine the cosine in radians but not in degrees?
algebra-precalculus
Number of zeros not possible in $n!$ [duplicate]
elementary-number-theory
factorial
algebra-precalculus
How find limit $\displaystyle \lim_{n\to\infty}n\left(1-\tfrac{\ln n}{n}\right)^n$
calculus
algebra-precalculus
limits
Find the sum of $-1^2-2^2+3^2+4^2-5^2-6^2+\cdots$
sequences-and-series
algebra-precalculus
summation
Coeff. of $x^{97}$ in $f(x) = (x-1)\cdot (x-2)\cdot (x-3)\cdot (x-4)\cdot ........(x-100)$
algebra-precalculus
polynomials
sums-of-squares
multinomial-coefficients
Best books for relearning precalculus maths the right way [duplicate]
algebra-precalculus
reference-request
book-recommendation
Why { $z-x-y=0$ , $z-2x=0$ , $2x+y-3z=0$ } cannot be solved this way?
linear-algebra
algebra-precalculus
numerical-linear-algebra
Can you reduce an inequality by taking a derivative?
calculus
algebra-precalculus
Let $f(x)=ax^2+bx+c$ where $a,b,c$ are real numbers. Suppose $f(-1),f(0),f(1) \in [-1,1]$. Prove that $|f(x)|\le \frac{3}{2}$ for all $x \in [-1,1]$.
algebra-precalculus
quadratics
Is my general formula for polynomial multiplication right?
calculus
algebra-precalculus
Find the possible values of $a$, $b$ and $c$?
algebra-precalculus
diophantine-equations
Arithmetic mean is less than geometric mean (Spivak Calculus 3rd Chapter 2 Problem 22)
algebra-precalculus
inequality
optimization
self-learning
Showing that $\max\{f+g\} \leq \max f + \max g$
algebra-precalculus
inequality
How to find the equation of the tangent line to $y=x^2+2x-4$ at $x=2$?
algebra-precalculus
analytic-geometry
conic-sections
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