Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find the values of $x$ that satisfy the equation $5x = 3x^2 - 9x + 12$. We ne...
Quadratic EquationsQuadratic FormulaSignificant FiguresAlgebraic Manipulation
2025/5/7
The problem asks us to solve the quadratic equation $8x^2 - 35 = -18x$ for $x$ using the quadratic f...
Quadratic EquationsQuadratic FormulaSimplification
2025/5/7
The problem asks us to find the solutions to the quadratic equation $4x^2 - 20x + 25 = 0$ from the g...
Quadratic EquationsFactoringPerfect Square TrinomialsSolving Equations
2025/5/7
The problem asks us to solve the quadratic equation $4x^2 + 20x + 21 = 0$ using the quadratic formul...
Quadratic EquationsQuadratic FormulaRoots of Equations
2025/5/7
The problem is to solve the equation $-3x + 3(82) = 5$ for the variable $x$.
Linear EquationsSolving EquationsVariable Isolation
2025/5/6
The problem is to evaluate the expression $5(33) + 2x = 1$. The variable $x$ has been crossed out. T...
Linear EquationsEquation SolvingArithmetic Operations
2025/5/6
We are given a system of two linear equations with two variables, $x$ and $y$. The system is: $5x + ...
Linear EquationsSystem of EquationsElimination MethodSolving for Variables
2025/5/6
The problem consists of three exercises. Exercise 1 asks to determine the domain of definition of so...
FunctionsDomainParityTrigonometryTrigonometric EquationsTrigonometric Inequalities
2025/5/6
We are given the function $f(x) = (x-a)^2(x-b)^2$ and we need to find the value of $f(a+b)$.
FunctionsPolynomialsSubstitution
2025/5/6
We are given the function $f(x) = x^2 - 3x + 4$. We want to find the values of $x$ such that $f(x) =...
Quadratic EquationsFunctionsEquation SolvingAlgebraic Manipulation
2025/5/6