Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
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
The problem states: "If the discriminant in the quadratic formula is zero, then the quadratic equati...
Quadratic EquationsDiscriminantRoots of Equations
2025/4/15
The problem asks how the quadratic formula is used to solve a quadratic equation. We must select the...
Quadratic EquationsQuadratic FormulaEquation Solving
2025/4/15
The problem asks to find the value of $x$ given that the volume of a box is 252 cubic feet and the d...
VolumeQuadratic EquationsSolving EquationsWord Problem
2025/4/15
We are asked to solve the equation $\frac{x^2}{6} - x = 12$ for $x$.
Quadratic EquationsSolving EquationsQuadratic Formula
2025/4/15
The problem is to solve the quadratic equation $x^2 + 6x - 13 = 0$. We need to find the values of $x...
Quadratic EquationsQuadratic FormulaSquare Roots
2025/4/15
We are asked to solve the quadratic equation $2y^2 + 10y = -9$ by completing the square.
Quadratic EquationsCompleting the SquareAlgebraic Manipulation
2025/4/15
Solve the equation $\frac{x^2}{2} + \frac{5}{2}x = 2$ by completing the square.
Quadratic EquationsCompleting the SquareAlgebraic Manipulation
2025/4/15
We are asked to solve the equation $x^2 - 6x = 20$ by completing the square.
Quadratic EquationsCompleting the SquareAlgebraic Manipulation
2025/4/15