最新の問題

複素数 $z$ に関する方程式 $\bar{z}z + (3-3i)z + (3+3i)\bar{z} + 2 = 0$ を解きます。

複素数方程式平方完成
2025/3/8

The problem asks us to find the solutions for the following equations: a) $(0-3)x^2 = 0$ b) $(3-\sqr...

Quadratic EquationsSolving EquationsReal Numbers
2025/3/8

The problem asks us to identify which of the given equations are quadratic equations in $x$. A quadr...

Quadratic Equations
2025/3/8

The problem asks us to find the solutions of three quadratic equations using Vieta's formulas. The q...

Quadratic EquationsVieta's FormulasRoots of PolynomialsSolving Equations
2025/3/8

The problem presents a worksheet containing questions related to quadratic equations. It involves id...

Quadratic EquationsRoots of EquationDiscriminantVieta's FormulasEquation Transformation
2025/3/8

The problem is to simplify the expression $\frac{[(2x^2y^3)^2]^{-2}}{3x^{-2}y}$ and express the answ...

Simplifying ExpressionsExponentsVariables
2025/3/8

The total cost function for a product is given by $C(x) = 850 \ln(x+10) + 1700$, where $x$ is the nu...

Cost FunctionLogarithmExponential FunctionOptimization
2025/3/8

The problem provides a total cost function $C(x) = 850 \ln(x + 10) + 1700$, where $x$ is the number ...

Cost FunctionLogarithmExponential FunctionOptimizationBusiness Application
2025/3/8

The problem provides a cost function $C(x) = 850\ln(x + 10) + 1700$, where $x$ is the number of unit...

Cost FunctionLogarithmExponential FunctionOptimization
2025/3/8

The problem gives the demand function $p = 100e^{-q/2}$, where $p$ is the price per unit and $q$ is ...

Exponential FunctionsDemand FunctionLogarithmsApproximation
2025/3/8