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$f(x)$ is a polynomial satisfying following conditions

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#derivatives #polynomials #quadratics
82
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Find a + b + c + bc.

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#systems-of-equations #quadratics #symmetric-polynomials
865
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How to find out how many roots of a polynomial is in each quadrant?

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#complex-analysis #polynomials #complex-numbers #quadratics
420
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Sketching an elliptic paraboloid

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#quadratics #conic-sections
42
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Inverse of Quadratics with Horizontal Transformations

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#algebra-precalculus #functions #quadratics #inverse #inverse-function
226
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Finding range of $y=\frac{2x^2+2x-4}{x^2+x}$ analytically (using discriminant)

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#algebra-precalculus #analysis #functions #quadratics #discriminant
407
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Why is it that the roots of a quadratic is closest when the discriminant is smallest (but non-zero)?

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#polynomials #roots #quadratics #discriminant
3.2k
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Finding the value of $k$ when the parabola is tangent to $x$-axis

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#quadratics
88
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Find all real solutions of $\sqrt{x} - \sqrt{2-2x} = 1$

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#quadratics
122
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Diophantine equation $4x^2+n(n+1)x=y^2$ for a given $n>2$.

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#number-theory #elementary-number-theory #diophantine-equations #quadratics
550
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Number of integers for which $3x^3-25x+n=0$ has three real roots

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#functions #quadratics
113
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Intersections of Tangent Lines to Parabola Different Proof

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#algebra-precalculus #geometry #quadratics #conic-sections #tangent-line
63
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Solving a complex number equation

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#complex-numbers #quadratics
754
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Find the range of the values of x

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#algebra-precalculus #quadratics
196
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How to solve least square quadratic problem using FFT

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#optimization #quadratics #fourier-transform #fast-fourier-transform

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