Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to simplify the radical expression $\sqrt{300}$.
RadicalsSimplificationSquare RootsExponentsPrime Factorization
2025/3/22
We need to solve the equation $\frac{2x}{x-5} = 4 + \frac{10}{x-5}$ for $x$.
Algebraic EquationsRational EquationsSolving EquationsNo SolutionDomain Restrictions
2025/3/22
We are asked to find the equation of a line that passes through the point $(-1, 3)$ and is perpendic...
Linear EquationsPerpendicular LinesSlopePoint-Slope Form
2025/3/22
The problem asks us to find the slope $m$ and y-intercept $b$ of the line given by the equation $3x ...
Linear EquationsSlope-intercept formEquation of a lineAlgebraic manipulation
2025/3/22
The problem defines two functions $f(x) = 3x^2 - 1$ and $g(x) = 3 - x^2$. We need to find the value ...
Function CompositionPolynomial FunctionsEvaluation
2025/3/22
We need to find the slope $m$ and the y-intercept $b$ of the line whose equation is given by $3x - 2...
Linear EquationsSlope-intercept formEquation of a lineAlgebraic manipulation
2025/3/22
The given equation is $10x^2 - 25y^2 = 100$. The objective is to analyze and simplify this equation.
Conic SectionsHyperbolaEquation SimplificationAlgebraic Manipulation
2025/3/22
The problem is to find the solutions for the equation $ - \frac{x^2}{9} = \frac{y^2}{4} $.
Conic SectionsEquationsSolution of EquationsQuadratic Forms
2025/3/22
The problem presents an equation involving $x^2$ and $y^2$: $\frac{-x^2}{9} = \frac{y^2}{4}$. We wan...
EquationsConic SectionsVariables
2025/3/22
The problem is to solve the equation $ -\frac{x^2}{9} = \frac{y^2}{4} $ for $x$ and $y$.
EquationsConic SectionsAlgebraic ManipulationSolutions
2025/3/22