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Solve equation for x: $m^2(z^2-25)=n^2(z^2-25)$

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#quadratics
94
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Solve for x: $x^2+2bx-a^2+8ab-15b^2=0$

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#quadratics
3.7k
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Function for a free throw trajectory of ball

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#functions #quadratics
49
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Operations on zeroes of quadratic equations

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#polynomials #quadratics
92
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trying to solve a quadratic equation with surdic term.

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#quadratics #a.m.-g.m.-inequality #quartics
56
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Upper bound on the value of a variable.

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#quadratics #upper-lower-bounds
355
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Prove the following for the given expression

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#functions #polynomials #exponential-function #quadratics
93
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Determine parameter m so equation has complex results for x:$(m+1)x^2+2(m-1)x+4m+1=0$

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#quadratics
271
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How does quadrea relate to area?

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#geometry #number-theory #quadratics #rational-numbers
43
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Quаdratic Inequalities

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#quadratics
1.3k
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Intuition behind Algebra

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#quadratics #intuition
62
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If $a$ is a negative number, then $\bar{x} = \dfrac{-b}{2a}$ is a maximiser of the function $ax^2 + bx + c$: Proof Clarification.

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#algebra-precalculus #optimization #proof-explanation #quadratics
128
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Minimum value of rational expression

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#inequality #quadratics #fractions #substitution #buffalo-way
4.4k
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Using Rolle's theorem and IVT, show that $x^4-7x^3+9=0$ has exactly $2$ roots.

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#calculus #quadratics #rolles-theorem
454
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What are the values ​of $a$, one of the roots of the equation is greater than $1$ and the other is less than $1$?

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#algebra-precalculus #quadratics #quadratic-forms

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