Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are asked to evaluate the expression $(2 + \sqrt{-4})(-1 + \sqrt{-9})$. This involves complex num...

Complex NumbersImaginary NumbersArithmetic Operations
2025/3/7

We are asked to solve two complex number problems. First, calculate $(7 - \sqrt{-1}) - \sqrt{-81}$. ...

Complex NumbersArithmetic Operations
2025/3/7

The problem asks to evaluate the expression $(-5 + \sqrt{-4}) + (3 - \sqrt{-16})$.

Complex NumbersImaginary NumbersArithmetic Operations
2025/3/7

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

Complex NumbersImaginary UnitArithmetic Operations
2025/3/7

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

Complex NumbersComplex Number Arithmetic
2025/3/7

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

Complex NumbersArithmetic Operations
2025/3/7

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

Complex NumbersArithmetic Operations
2025/3/7

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

Quadratic EquationsArea CalculationTrapezoidGeometric Application
2025/3/7

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

Complex NumbersImaginary UnitSquare RootsSimplification
2025/3/7

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
2025/3/7