Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The area of a triangular billboard is 76 square feet. The base of the triangle is 3 feet longer than...

Quadratic EquationsGeometryArea of a TriangleWord Problem
2025/3/25

The area of a triangular neon billboard is 125 square feet. The base of the triangle is 5 feet longe...

GeometryArea of a TriangleUnit ConversionWord Problem
2025/3/25

The problem states that a triangular neon billboard has an area of 125 square feet. The base of the ...

Quadratic EquationsGeometryAreaUnit Conversion
2025/3/25

The problem states that a triangular warning sign has an area of 340 square inches. The base of the ...

GeometryArea of a TriangleQuadratic EquationsWord Problem
2025/3/25

The equation $4x^2 - 15x + c = 0$ has a solution of $-\frac{1}{4}$. We need to find the value of $c...

Quadratic EquationsRoots of EquationsFactoringSolving Equations
2025/3/25

We need to find the roots of the equation $2(x+19) = 13x + 2(x^2-19)$.

Quadratic EquationsSolving EquationsQuadratic Formula
2025/3/25

The problem asks us to find all roots of the equation $\frac{x^3}{6} - 8x = \frac{x^2}{3}$.

Polynomial EquationsCubic EquationsFactoringRoots
2025/3/25

We are asked to find all the roots of the equation $x^3 + 11x^2 + 28x = 0$.

Polynomial EquationsCubic EquationsFactoringRoots of Equations
2025/3/25

The problem is to find the roots of the cubic equation $x^3 + 11x^2 + 28x = 0$.

Cubic EquationsRoots of EquationsFactoringPolynomials
2025/3/25

We are asked to find the roots of the equation $x^2 + \frac{13}{2}x = \frac{7}{2}x$.

Quadratic EquationsSolving EquationsRootsFactorization
2025/3/25