Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation.

pedzenekO
2021-09-18
Answered

Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation.

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lamusesamuset

Answered 2021-09-19
Author has **93** answers

Solving of this inequalitie

asked 2022-04-24

How can we prove there are infinitely many solutions to $\frac{1}{{x}^{2}-2x+3}=y$ by only staying at Further maths at High School level? Will the graph ever go below the x-axis or will stay on it?

asked 2022-03-18

Cannot solve quadratic equation through product sum product when the the first product is fraction

$\frac{16}{3}{x}^{2}-2x-45=0$

asked 2021-12-10

Consider the function $f\left(x\right)=2-2{x}^{2},-3\le x\le 1$ .

The absolute maximum value is$B\otimes$

and this occurs at x=$B\otimes$

The absolute minimum value is$B\otimes$

and this occurs at x=$B\otimes$

The absolute maximum value is

and this occurs at x=

The absolute minimum value is

and this occurs at x=

asked 2022-06-04

Consider for every real number a the linear system of equations:

$\begin{array}{rl}x+(a+1)y+{a}^{2}z& ={a}^{3}\\ (1-a)x+(1-2a)y& ={a}^{3}\\ x+(a+1)y+az& ={a}^{2}\end{array}$

1. Find the solution for $a=2$;

2. Find the values of a for which the system has no solution, infinitely many solutions, and a unique solution;

3. Find the solution for $a=-1$.

$\begin{array}{rl}x+(a+1)y+{a}^{2}z& ={a}^{3}\\ (1-a)x+(1-2a)y& ={a}^{3}\\ x+(a+1)y+az& ={a}^{2}\end{array}$

1. Find the solution for $a=2$;

2. Find the values of a for which the system has no solution, infinitely many solutions, and a unique solution;

3. Find the solution for $a=-1$.

asked 2022-03-30

Proving roots of quadratic equations

If$\alpha ,\beta$ are the roots of the quadratic equation $a{x}^{2}+bx+c=0$ , obtain the equation whose roots are $\frac{1}{{\alpha}^{3}}\text{}\text{and}\text{}\frac{1}{{\beta}^{3}}$ .

If, in the above equation$\alpha {\beta}^{2}=1$ , prove that ${a}^{3}+{c}^{3}+abc=0$ .

If

If, in the above equation

asked 2022-06-21

Suppose, we have a system of diophantine equations and also restrictions to the variables such as $0\le a\le x$ that can also be inequalities.

Can we transform this system in a diophantine equation that has a solution if and only if the given system has a solution ? In other words, is the system equivalent to some diophantine equation ?

Can we transform this system in a diophantine equation that has a solution if and only if the given system has a solution ? In other words, is the system equivalent to some diophantine equation ?

asked 2021-11-25

Find the Taylor polynomials of degree n approximating the functions for x near 0. (Assume p is a constant) $\mathrm{tan}x,n=3,\text{}4$