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Aderinsola Joshua
  • Member for 5 years, 7 months
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3 votes

Necessary and sufficient conditions that a cubic equation has three positive real roots

2 votes
Accepted

Asymptotes of function

2 votes

Using that $1 + z + z^{2} + ... + z^{n} = \frac{1-z^{n+1}}{1-z}$ and taking the real parts, prove that:

2 votes
Accepted

If $a+b+c=0$, then $a^3+b^3+c^3$ is ... $0$? $1$? $a^3b^3c^3$? $3abc$?

2 votes

Showing that $1200x_1^2-400x_2+202>0$ given that $x_1^2-x_2>-0.005$

2 votes

Prove that $\frac{1}{xy}\ge4$ given that $x+y=1$ and conclude that $(1+\frac1{x^2})(1+\frac1{y^2})\ge2$

2 votes

Surprising identities / equations

2 votes
Accepted

Quartic polynomials of a complex variable

2 votes

How do you convert from Prime notation to dx/dy notation?

2 votes

Approximating factorial using identity $\frac{1}{x}!\frac{2}{x}!\cdots\cdot\frac{x}{x}!=\frac{ {x}!\cdot(2\pi)^{\frac{x-1}{2}} }{ x^x\cdot\sqrt{x} }$

1 vote

equation $7x^2-(k+13)x +k^2-k-2=0$. To find the range values of $k$

1 vote
Accepted

Consider the system of equations $ax+y=b$, $bx+y=a$, $ax+by=ab$, where $ab\in \{0,1,2,3,4\}$, then find no. of pairs for which system is consistent

1 vote

Prove $\sqrt{ xy} \leq \frac{x + y}{2}$ for all positive $x$ and $y$

1 vote

Showing that a quadratic cannot have 3 roots using Determinants

1 vote

Solve $\frac{1}{(x - 2)(x-3)} + \frac{1}{(x -1)(x -2)} = \frac{2}{3}$, $x$ is not equal to $1$, $2$, $3$.

1 vote

If $a+b+c=0, ab+bc+ca=1$ and $abc=1,$ then find the value of $\frac ab+\frac bc+\frac ca.$

1 vote

What about the roots of $P+Q$ can be gleaned from $P,Q$?

1 vote
Accepted

If $x,y,z>0$, prove that: $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{x+y}\ge \sqrt{2}\sqrt{2-\frac{7xyz}{(x+y)(y+z)(x+z)}}$

1 vote

Roots of a certain sixth order polynomial

1 vote

The 'sine and cosine theorem' - formulas for the sum and difference

1 vote

How prove this inequality $\frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a}<6$

1 vote
Accepted

Real Solution of $4^x + 6^x = 9^x$.

1 vote

Abstract Algebra ( tutoring suggestions )

1 vote

Finding a polynomial whose roots are connected to the roots of a different polynomial

1 vote
Accepted

$n$th term of the series 4, 32, 144........

1 vote

Prove that $9^{n+1} - 8n- 9$ divisible by $64$

1 vote

Solving complex polynomial equations

1 vote
Accepted

Why does Mathematica / Wolfram Alpha gives 2 different answers for these 2 queries?

1 vote

A step I want to understand in solving this system of equations.

1 vote

$f(f(x)) = 1 + x^2$, then what is f(1)?

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