Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to determine the type of solutions of the quadratic equation $4x(x-1) + 14 = 10$...

Quadratic EquationsDiscriminantComplex NumbersRoots of Equations
2025/4/15

We are given the quadratic equation $2x^2 + 18 = -12x$ and we need to determine the type of solution...

Quadratic EquationsDiscriminantRoots of Equations
2025/4/15

The problem asks us to determine the type of solutions the quadratic equation $3x^2 + 10x + 7 = 0$ h...

Quadratic EquationsDiscriminantRoots of EquationsReal SolutionsRational Solutions
2025/4/15

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