最新の問題

We are given a circle with center A. We are given that $BE = 34$ and $CD = 26$. We need to find the ...

CirclesChordsPythagorean Theorem
2025/4/29

問題6では、与えられた3つの2次式を複素数の範囲で因数分解する必要があります。問題7では、2つの2次方程式 $x^2 - a^2x - a = 0$ と $x^2 + ax - 1 = 0$ があり、...

二次方程式因数分解複素数
2025/4/29

The problem asks us to find the value of $x$ given that arc $CB$ measures $115^\circ$ and is express...

GeometryArcsAnglesAlgebraic EquationsSolving for x
2025/4/29

The problem asks us to find the value of $x$ in the given circle. We are given that the angle at $T$...

CirclesAnglesIsosceles TriangleArcsInscribed Angles
2025/4/29

$x = 2 + 3i$ が2次方程式 $x^2 + ax + b = 0$ の1つの解であるとき、実数の定数 $a, b$ の値を求め、もう一つの解を求めます。

二次方程式複素数解と係数の関係
2025/4/29

We are given a circle with center at some point. We have a triangle $\triangle RST$ inscribed in the...

GeometryTrianglesIsosceles TriangleAnglesCircles
2025/4/29

The problem asks to solve the following equation for $x$: $[5x + (8 + 3x) - 19] - 1 = 1 - [-2x + (7x...

Linear EquationsEquation SolvingSimplification
2025/4/29

We are given a circle with center at a point (let's call it O). We have three points on the circumfe...

CirclesTrianglesIsosceles TrianglesAnglesAngle Measurement
2025/4/29

We are given a circle with center at some point. We have three points on the circumference of the ci...

CirclesArcsAnglesInscribed Angle TheoremIsosceles Triangle
2025/4/29

二つの二次方程式 $x^2 + 2ax + a + 2 = 0$ と $x^2 + (a - 1)x + a^2 = 0$ が与えられています。 (1) この二つの二次方程式がともに虚数解を持つときの...

二次方程式判別式不等式解の範囲
2025/4/29