Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to simplify the equation $\frac{1}{18} + \frac{1}{y} = \frac{2}{y+3}$ and then s...

EquationsQuadratic EquationsSimplificationQuadratic Formula
2025/4/15

We are asked to solve the equation $(x-2)(x+1) = \frac{2x+19}{2}$ for $x$ using the quadratic formul...

Quadratic EquationsQuadratic FormulaEquation SolvingAlgebraic ManipulationSimplification
2025/4/15

The problem is to solve the quadratic equation $2x(x+2) - 8 = 2x - 7$ using the quadratic formula.

Quadratic EquationsQuadratic FormulaAlgebraic Manipulation
2025/4/15

The problem is to solve the quadratic equation $9x^2 + 7 = 18$ using the quadratic formula.

Quadratic EquationsQuadratic FormulaEquation SolvingAlgebraic Manipulation
2025/4/15

The problem asks us to solve the quadratic equation $2x^2 - x - 3 = 0$ using the quadratic formula.

Quadratic EquationsQuadratic FormulaSolving Equations
2025/4/15

The problem asks us to solve the equation $x^2 = \frac{6}{7}x$ using the quadratic formula and simpl...

Quadratic EquationsSolving EquationsQuadratic Formula
2025/4/15

The problem asks us to solve the quadratic equation $x^2 + x - 1 = 0$ using the quadratic formula.

Quadratic EquationsQuadratic FormulaRoots
2025/4/15

The problem states: "If the discriminant in the quadratic formula is zero, then the quadratic equati...

Quadratic EquationsDiscriminantRoots of Equations
2025/4/15

The problem asks how the quadratic formula is used to solve a quadratic equation. We must select the...

Quadratic EquationsQuadratic FormulaEquation Solving
2025/4/15

The problem asks to find the value of $x$ given that the volume of a box is 252 cubic feet and the d...

VolumeQuadratic EquationsSolving EquationsWord Problem
2025/4/15