Suppose that $x,y,z$ are three positive numbers that satisfy the equation $xyz=1,x+\frac{1}{z}=5$ and $y+\frac{1}{x}=29$. Then $z+\frac{1}{y}=\frac{m}{n}$, where m and n are coprime. Find $m+n+1$

Quintin Stafford
2022-06-26
Answered

Suppose that $x,y,z$ are three positive numbers that satisfy the equation $xyz=1,x+\frac{1}{z}=5$ and $y+\frac{1}{x}=29$. Then $z+\frac{1}{y}=\frac{m}{n}$, where m and n are coprime. Find $m+n+1$

You can still ask an expert for help

asked 2021-02-25

Find a polynomial of the specified degree that has the given zeros. Degree 4, zeros -2, 0, 2, 4

asked 2020-10-28

Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros 0 and i.

asked 2021-09-01

For the function defined as follows, find the Taylor polynomials of degree 4 at 0.

$f\left(x\right)={e}^{x+1}$

asked 2021-09-19

Use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor each of the following.

$1-27{a}^{3}$

asked 2021-12-19

Tell, please, the formula for $(a+b)}^{3$ ?

asked 2022-09-18

Define Bernoulli polynomials as: ${P}_{n}^{\prime}(x)=n{P}_{n-1}(x)$, ${\int}_{0}^{1}{P}_{n}(x)=0$ if$n\ge 1$

asked 2021-10-13

Determine whether the first polynomial can be expressed as a linear combination of other two polynomials.

$2{x}^{3}-2{x}^{2}+12x-6,{x}^{3}-2{x}^{2}-5x-3,3{x}^{3}-5{x}^{2}-4x-9$