Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to simplify the given rational expression: $\frac{2x^2 - 9x - 35}{x^3 + 2x^2 - 5x -...
Rational ExpressionsFactoringPolynomial DivisionAlgebraic Simplification
2025/3/17
The problem requires simplifying the given rational expression: $\frac{4x-9}{(x-2)(x-3)}$. The instr...
Partial FractionsRational ExpressionsAlgebraic Manipulation
2025/3/17
The problem is to simplify the rational expression $\frac{4x-9}{(x-2)(x-3)}$.
Rational ExpressionsPartial FractionsAlgebraic Manipulation
2025/3/17
The problem asks us to express the given rational expression, $\frac{4x-9}{(x-2)(x-3)}$, as a sum of...
Partial FractionsRational ExpressionsAlgebraic Manipulation
2025/3/17
The problem requires us to perform a partial fraction decomposition on the rational expression $\fra...
Partial FractionsRational ExpressionsAlgebraic ManipulationEquation Solving
2025/3/17
We are given two equations: 1) $log(y) = 2log(x) + 1$ 2) $2y = 9x - 1$ We need to solve for $x$ and ...
LogarithmsSystems of EquationsQuadratic EquationsSubstitutionSolution Verification
2025/3/17
We are given two equations: $log(y) = 2log(x) + 1$ $2y = 9x - 1$ We need to find the values of $x$ a...
LogarithmsQuadratic EquationsSystems of EquationsEquation Solving
2025/3/17
We are given a system of two equations: $\log y = 2 \log x + 1$ $2y = 9x - 1$ We need to find the va...
LogarithmsSystems of EquationsQuadratic EquationsSolution Verification
2025/3/17
We are given two equations: 1. $\log y = 2 \log x + 1$
LogarithmsQuadratic EquationsSystems of EquationsSubstitution
2025/3/17
Solve the following system of equations: $\log y = 2 \log x + 1$ $2y = 9x - 1$
Systems of EquationsLogarithmsQuadratic EquationsSolution Verification
2025/3/17