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

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

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

Complex NumbersImaginary NumbersArithmetic Operations
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複素数 $a = 2\sqrt{2}(1+i)$ に対して、等式 $|z-a| = 2$ を満たす複素数 $z$ のうち、絶対値 $|z|$ が最大となる $z$ を求める問題です。ただし、複素数の偏...

複素数平面絶対値極形式円の方程式
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

複素数 $a = 2\sqrt{2}(1+i)$ が与えられたとき、方程式 $|z-a| = 2$ を満たす複素数 $z$ について、絶対値 $|z|$ が最大となる $z$ を求める問題です。ただし...

複素数絶対値偏角複素数平面幾何学
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The problem is to solve the complex number arithmetic problems shown in the image. Specifically, we ...

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

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

Quadratic EquationsArea CalculationTrapezoidGeometric Application
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