Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given a quadratic equation $ax^2 + bx + c = 0$ and its discriminant $b^2 - 4ac = -1$. We need...
Quadratic EquationsDiscriminantComplex Roots
2025/4/22
We are given a set $S = \{0, 2, 4, 6, 8, 10\}$ and an operation $*$ defined on $S$ as $x * y = x + y...
Abstract AlgebraBinary OperationsSet TheoryCommutativityClosure
2025/4/22
The problem defines a binary operation $*$ on the set $S = \{0, 2, 4, 6, 8, 10\}$ as $x * y = x + y ...
Binary OperationSet TheoryClosure
2025/4/22
The problem describes an operation $*$ defined on the set $S = \{0, 2, 4, 6, 8, 10\}$ as $x * y = x ...
Abstract AlgebraBinary OperationSet TheoryClosure
2025/4/22
The problem asks us to factorise the expression $2ab + xy - 2ay - bx$ completely.
FactorizationAlgebraic ExpressionsGrouping
2025/4/22
We are asked to solve the equation $4x^2 = 9x$.
Quadratic EquationsSolving EquationsFactoringLinear Equations
2025/4/22
We are given a function machine that performs two operations on an input value: first subtract 7, an...
Linear EquationsSolving EquationsVariables
2025/4/22
Solve the equation $4x^2 = 9x$.
Quadratic EquationsSolving EquationsFactorizationZero Product Property
2025/4/22
Expand and simplify the expression $(2a + 3)(3a - 4)$.
Polynomial ExpansionSimplificationFOIL method
2025/4/22
The image presents three math problems: 1. Evaluate $5^3 \times \frac{1}{5^2}$.
ExponentsSimplificationPolynomialsQuadratic EquationsFactoringFOIL Method
2025/4/22