Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given the equation $48x^3 = [2^{(2x)^3}]^2$ and we need to solve for $x$.
EquationsExponentsLogarithmsNumerical Solution
2025/6/20
We are asked to solve the quadratic equation $x^2 + x - 1 = 0$ for $x$.
Quadratic EquationsQuadratic FormulaRoots of Equations
2025/6/20
Solve the equation $\frac{x+1}{201} + \frac{x+2}{200} + \frac{x+3}{199} = -3$.
Linear EquationsEquation Solving
2025/6/20
The problem is to expand the given binomial expressions. The expressions are: 1. $(x + 1)(x + 3)$
Polynomial ExpansionBinomial ExpansionFOILDifference of Squares
2025/6/19
The problem is to remove the brackets and simplify the given expressions. I will solve question numb...
Algebraic ManipulationExpansionDifference of Squares
2025/6/19
We need to remove the brackets and collect like terms for the given expressions. I will solve proble...
Algebraic simplificationLinear expressionsCombining like termsDistribution
2025/6/19
The problem asks us to solve the equation $\lfloor 2x^3 - x^2 \rceil = 18x - 9$ for $x \in \mathbb{R...
EquationsCeiling FunctionReal NumbersCubic Equations
2025/6/19
The problem consists of 8 sub-problems. Each sub-problem contains an equation and a variable in pare...
Equation SolvingVariable IsolationFormula Manipulation
2025/6/19
The problem provides the equation of a parabola, $y = 3 - 2x - x^2$. We need to find the coordinates...
Quadratic EquationsParabolax-interceptTurning PointCoordinate Geometry
2025/6/19
The problem is to factorize the quadratic expression $2x^2 + 5x - 3$ completely.
Quadratic EquationsFactorizationPolynomials
2025/6/19