Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem is to solve the equation $x^2 = -9$ for $x$.

Complex NumbersQuadratic EquationsSquare Root
2025/3/7

We need to solve problems 9, 10, 11 and 12, finding the discriminant and stating the number and type...

Quadratic EquationsDiscriminantFactorization
2025/3/7

The image contains two quadratic equations to be solved. The first one is $11x^2 + 9x = -1$, and the...

Quadratic EquationsQuadratic FormulaFactoringRoots of Equation
2025/3/7

The problem asks to solve six quadratic equations using the quadratic formula. The equations are: 1)...

Quadratic EquationsQuadratic FormulaSolving Equations
2025/3/7

The problem asks us to evaluate the expression $(5 + \sqrt{-1})(2 - \sqrt{-36})$.

Complex NumbersImaginary NumbersArithmetic Operations
2025/3/7

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

Complex NumbersImaginary NumbersArithmetic Operations
2025/3/7

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