Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find the value of $x$ given the dimensions of a box and its volume. The dimen...
VolumeQuadratic EquationsEquationsProblem Solving
2025/4/21
The problem is to solve the equation $\frac{x^2}{2} - x = 4$ for $x$.
Quadratic EquationsEquation SolvingFactoring
2025/4/21
We are asked to solve the quadratic equation $x^2 + 10x - 1 = 0$ for $x$. We need to provide an exac...
Quadratic EquationsQuadratic FormulaRadicalsSolving Equations
2025/4/21
The problem asks us to solve the equation $2y^2 + 10y = -9$ by completing the square.
Quadratic EquationsCompleting the SquareSolving Equations
2025/4/21
The problem is to simplify the expression $(4x^2 - 9) \times \frac{2x+3}{2x-3}$.
SimplificationFactoringDifference of SquaresRational Expressions
2025/4/21
The problem asks us to solve the quadratic equation $\frac{x^2}{2} + \frac{7}{2}x = 1$ by completing...
Quadratic EquationsCompleting the SquareEquation Solving
2025/4/21
The problem requires solving the quadratic equation $x^2 - 4x = 19$ by completing the square.
Quadratic EquationsCompleting the SquareAlgebraic ManipulationSolutions
2025/4/21
The problem asks to solve the quadratic equation $x^2 + 14x + 4 = 0$ by completing the square.
Quadratic EquationsCompleting the SquareRoots
2025/4/21
The problem is to solve the equation $(5x - 2)^2 = 16$ using the square root property.
Quadratic EquationsSquare Root PropertySolving Equations
2025/4/21
The problem is to solve the equation $(3x + 1)^2 = 6$ for $x$ using the square root property. The so...
EquationsSquare Root PropertyRadicalsSolving Equations
2025/4/21