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Solve $z^4 +4z^2 +16 = 0$ over $\Bbb C$

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#complex-numbers #quadratics
196
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Find the total number of roots of $(x^2+x+1)^2+2=(x^2+x+1)(x^2-2x-6)$, belonging to $(-2,4)$.

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#algebra-precalculus #complex-numbers #roots #quadratics #cubics
1k
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Solve the equation $x^3-11x^2+38x-40=0$, given that the ratio of two of its roots is $2:1$.

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#algebra-precalculus #roots #quadratics #cubics
171
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On a problem of sum of $n$ squares (Generalized IMO 1988 P6)

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#number-theory #elementary-number-theory #quadratics
229
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Quadratics in Kinematics and the meaning of their solutions

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#quadratics #kinematics
144
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Are quadratic forms always equal to their tranponse? $x^\top A x = x^\top A^\top x$

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#calculus #linear-algebra #abstract-algebra #algebra-precalculus #quadratics
135
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Can we make the inequality $A-B \leq \frac{A^2}{4}$ strict?

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#sequences-and-series #inequality #quadratics #discriminant
50
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Quadratic as product of linear polynomials

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#polynomials #quadratics
92
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Can we find the integral solutions of $x(3y-5)=y^2+1$?

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#roots #quadratics #conic-sections #integers
71
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A condition for the roots of a quadratic equation

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#quadratics
84
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System of quadratic equations

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#systems-of-equations #quadratics
911
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Find the degree of the polynomial p(x) which satisfies the condition (x)p(x – 1) = (x – 15) p(x).

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#polynomials #recurrence-relations #quadratics
98
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test of solving XTX=A for X !!

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#linear-algebra #eigenvalues-eigenvectors #quadratics #symmetric-matrices #elliptic-equations
213
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Area enclosed between the roots of a quadratic

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#calculus #integration #roots #quadratics #area
33
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Expressing $\sum_{k=1}^3(A_k\cos(x-\alpha_k)-C_k)^2$ in the form $A\cos(x-\alpha)+B$

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#trigonometry #quadratics #sums-of-squares

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