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Question on quadratic equations

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#algebra-precalculus #quadratics
89
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Difficulty in finding the roots of a cubic equation.

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#algebra-precalculus #quadratics #cubics
2.2k
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If the quadratic equation $x^2+px+q=0$ and $x^2+qx+p=0$ have a common root

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#algebra-precalculus #polynomials #systems-of-equations #roots #quadratics
822
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For what value of $k$ is one root of the equation

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#algebra-precalculus #polynomials #roots #quadratics
1k
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Prove that if the equations $x^2+bx+ca=0$ and $x^2+cx+ab=0$ have a common root,

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#algebra-precalculus #polynomials #roots #quadratics
510
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How to solve the equation $\log_2(x-9)+\log_{(2x-18)}6=3$.

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#algebra-precalculus #logarithms #exponential-function #quadratics
2.5k
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Find the value of $x$, for which the function $h(x) = \frac 1{(x-5)^2+4(x-5)+4}$ is undefined

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#algebra-precalculus #functions #quadratics
76
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How can I simplify this equation? $x\sqrt[3]{x}+4x^{\frac{4}{3}}-5\sqrt[3]{x^4}$

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#quadratics
50
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Determining the value of required parameter for the equations to have a common root

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#algebra-precalculus #quadratics
146
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Finding the range of values of a parameter to satisfy the given condition.

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#algebra-precalculus #quadratics
5.7k
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Find all of the points of the form $(x, −1)$ which are $4$ units from the point $(3, 2)$

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#algebra-precalculus #systems-of-equations #analytic-geometry #roots #quadratics
329
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Solve the quadratic with 4 unknowns

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#quadratics
91
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Solving a Quadratic Inequality

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#algebra-precalculus #inequality #quadratics #fractions #quadratic-forms
67
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Proving that $f(x)\ge 0$

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#algebra-precalculus #quadratics
106
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Understanding how to solve a system of equations with a constraint

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#linear-algebra #algebra-precalculus #systems-of-equations #quadratics

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