Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem requires solving the rational equation $\frac{24}{5x+2} = \frac{4x+1}{5x^2+12x+4} + \fra...
Rational EquationsEquation SolvingFactorizationAlgebraic Manipulation
2025/4/15
Solve the equation $\frac{1}{4x} = \frac{2}{x^2} + \frac{3}{x-3}$.
EquationsRational EquationsQuadratic EquationsQuadratic FormulaSolving Equations
2025/4/15
The problem asks us to solve the rational equation $\frac{8}{z^2-9} = \frac{4}{z^2-3z}$ for $z$. We ...
Rational EquationsSolving EquationsExtraneous SolutionsAlgebraic Manipulation
2025/4/15
The problem asks us to write a quadratic equation in the standard form $ax^2 + bx + c = 0$, given th...
Quadratic EquationsRoots of EquationsFactoringPolynomials
2025/4/15
We are asked to find a quadratic equation in the standard form $ax^2 + bx + c = 0$ with integer coef...
Quadratic EquationsRoots of PolynomialsFactoringInteger Coefficients
2025/4/15
The problem asks to write a quadratic equation in standard form $ax^2 + bx + c = 0$ given the soluti...
Quadratic EquationsRoots of EquationsFactoringStandard Form
2025/4/15
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