Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We need to solve the expression $(2 + \sqrt{-4})(-1 + \sqrt{-9})$.

Complex NumbersComplex Number Arithmetic

The problem is to solve the complex number arithmetic problems shown in the image. Specifically, we ...

Complex NumbersArithmetic Operations

The problem asks us to simplify several expressions involving complex numbers. We need to perform ad...

Complex NumbersArithmetic Operations

The problem describes a trapezoidal flower bed bounded by $y = x + 7$, the x-axis, and the vertical ...

Quadratic EquationsArea CalculationTrapezoidGeometric Application

The problem asks us to simplify two expressions involving square roots of negative numbers using the...

Complex NumbersImaginary UnitSquare RootsSimplification

Problem 37: The function $y = -0.024x^2 + 0.55x$ models the height $y$, in feet, of a frog's jump, w...

Quadratic FunctionsVertexParabolaOptimizationWord Problem

We need to solve three problems: 34. Solve the linear-quadratic system of equations: $y = x^2 + 3x -...

System of EquationsQuadratic EquationsLinear EquationsSolving EquationsPolynomialsFactorization

We are given three systems of equations and asked to find the solutions using graphing. System 31: $...

Systems of EquationsQuadratic EquationsSolving EquationsGraphingParabolaLinear Equations

We need to solve the quadratic equations $x^2 - 9x + 20 = 0$ and $3x^2 + 8x + 4 = 0$ by graphing.

Quadratic EquationsFactoringRoots of EquationGraphing

The problem requires us to solve the quadratic equation $x^2 - 9x + 20 = 0$ by graphing. This means...

Quadratic EquationsGraphingFactoringParabolaRoots of Equation

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