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Parabola graph problem

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#quadratics
60
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Quadratic equation with a parameter

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#algebra-precalculus #quadratics
918
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Find $f$ if $f(f(x))=ax^2+bx+c$

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#quadratics #functional-equations
82
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Solving an cubic equation

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#quadratics
58
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Graph of a parabola

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#quadratics
54
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Find the area of the square $OABC$

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#algebra-precalculus #quadratics
101
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Quadratic equation -

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#quadratics
61
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Quadratic function problem

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#quadratics
95
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Quadratics/Algebra word Problem (based on physics)

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#polynomials #quadratics #kinematics
44
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If we know the the slopes of two tangents at a certain $x$-value and a certain $y$-value, how to find quadratic function with these characteristics?

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#real-analysis #quadratics #tangent-line #slope
875
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If the equation $x^2+qx+rp=0$ and $x^2+rx+pq=0$ have a common root, the other root will satisfy which of the equations

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#algebra-precalculus #quadratics
908
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If $a,b$ are the roots of $x^2-px+q=0$ and $a',b'$ are the roots of $x^2-p'x+q'=0$, then find the value of $(a-a')^2+(b-b')^2+(a-b')^2+(b-a)^2$

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#algebra-precalculus #quadratics
376
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If a is one of the root of the equation 4x^2+2x-1=0. Then find the other root

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#algebra-precalculus #quadratics
48
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Factoring $qz^2+2pz+q$ via the quadratic equation

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#quadratics #factoring
362
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Prove that $(x-y)(y-z)(z-x) \leq \frac{1}{\sqrt{2}}$

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#inequality #quadratics #substitution #a.m.-g.m.-inequality #buffalo-way

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