Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are asked to solve the equation $\sqrt{\frac{x-9}{3}} = 2$ for $x$.

EquationsSquare RootsSolving Equations
2025/5/23

The problem is to solve the equation $k + \sqrt{k^2 + k - 2} = 2$ for the variable $k$.

EquationsRadicalsSolving EquationsSquare RootsAlgebraic Manipulation
2025/5/22

The problem presents three equations: 1. $6x^3 + x^2 - 19x + 6 = 0$

Polynomial EquationsCubic EquationsQuartic EquationsRational Root TheoremPolynomial DivisionQuadratic Formula
2025/5/22

The problem is to solve the trigonometric equation $2sin^2(x) - \sqrt{2}cos(x) = 0$.

TrigonometryTrigonometric EquationsQuadratic EquationsTrigonometric IdentitiesSolving Equations
2025/5/22

The problem consists of three parts: (a) Complete a table of values for the equation $y = 2x^2 - 7x ...

Quadratic EquationsGraphingParabolaRootsInequalities
2025/5/21

We need to solve the equation $3^k = \frac{81^2 \times 3^5}{3^{11}}$ for the value of $k$.

ExponentsEquationsSimplification
2025/5/21

We have a list of mathematical problems to solve, including equations to solve, expressions to evalu...

ExponentsRadicalsSimplificationEquationsAlgebraic Expressions
2025/5/21

We are asked to solve question 1(a) by factoring. The equation is $x^3 + x^2 - 2x = 0$.

Polynomial EquationsFactoringRoots of Polynomials
2025/5/21

The problem asks us to solve for $x$ in each of the given equations.

EquationsSolving for xLinear Equations
2025/5/21

Problem 22 asks for the annual interest rate required to triple an investment in 29 years. Problem 2...

Compound InterestEquationsRatioExponentsRoots
2025/5/20