Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We need to solve two equations for $x$: g) $x(x-2) = 2x - 2$ h) $3x(x-2) + 4 = 6$
Quadratic EquationsSolving EquationsQuadratic Formula
2025/6/1
We are given two quadratic equations: e) $5x^2 - 5x - 3 = 0$ f) $x^2 = -2x + 1$ We need to solve eac...
Quadratic EquationsQuadratic FormulaSolving Equations
2025/6/1
The problem asks us to find the solution set for each of the given quadratic equations using the qua...
Quadratic EquationsQuadratic FormulaSolution Sets
2025/6/1
The problem asks us to find the solution set of two quadratic equations using the quadratic formula....
Quadratic EquationsQuadratic FormulaSolution Sets
2025/6/1
The problem is to eliminate the cross-product term in the equation $x^2 + xy + y^2 = 6$ by rotating ...
Conic SectionsRotation of AxesEllipsesCoordinate Geometry
2025/6/1
The area of a rectangular rubber coating for a flat roof is 96 square feet. The length of the rectan...
Word ProblemQuadratic EquationsAreaRectangleDimensions
2025/6/1
We are given a number line with three points labeled A, 5, and B. The distance from A to 5 is +6, an...
Linear EquationsNumber LineDistance
2025/6/1
The problem asks us to find the complex roots $z$ of the quadratic equation $z^2 + (1 - 2i)z + (5 + ...
Quadratic EquationsComplex NumbersRoots of Equations
2025/6/1
We are asked to solve the quadratic equation $z^2 + (1-2i)z + (5+i) = 0$ for $z \in \mathbb{C}$.
Quadratic EquationsComplex NumbersRoots
2025/5/31
The image presents the quadratic equation $y = x^2 - 4x + 3$ as an example.
Quadratic EquationsParabolaRootsVertexY-interceptFactoring
2025/5/31