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Proving homogenous quadratic inequalities

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#inequality #quadratics #homogeneous-equation
192
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If $4a^2+9b^2-c^2+12ab=0$,the family of straight lines ax+by+c=0 is concurrent at which point?

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#geometry #conic-sections #quadratics
5.2k
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How to solve $z^2-(1-3i)z-2i-2=0$

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#algebra-precalculus #complex-numbers #quadratics
217
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How can I find values for which a given expression gives a perfect square?

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#number-theory #diophantine-equations #quadratics #quadratic-forms
31
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Possible values for this specific line of variables.

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#systems-of-equations #quadratics #symmetric-polynomials
39
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Sum of equation's roots

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#quadratics
102
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How to solve the following trigonometric quadratic equation for x

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#trigonometry #quadratics
130
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$x^2+y^2+2axy=0 \Rightarrow x=0$ and $y=0$

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#proof-writing #quadratics
646
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Find an equation of the quadratic function with zeros at $(0, 0)$ and $(6, 0)$ with $f(5) = -15$

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#linear-algebra #functions #roots #conic-sections #quadratics
318
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Finding the matrix of a quadratic form

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#calculus #linear-algebra #matrices #quadratics #quadratic-forms
214
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If $|ax^2+bx+c|\le 1\ \forall |x|\le 1$, then what is the maximum possible value of $\frac 83a^2+2b^2$?

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#algebra-precalculus #functions #inequality #quadratics #absolute-value
872
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A polynomial problem related to lx^2 + nx + n

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#quadratics
479
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How can I find the quadratic formula using calculus?

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#calculus #algebra-precalculus #quadratics
74
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Solving a quadratic equation in $\Bbb{Z}/19\Bbb{Z}$.

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#abstract-algebra #modular-arithmetic #finite-fields #quadratics #discriminant
863
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General method for determining if $Ax^2 + Bx + C$ is square

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#diophantine-equations #quadratics #square-numbers

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