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The problem provides two functions, $f(x) = \sqrt{x-2}$ and $g(x) = x^2 - 1$. The goal is to find th...

Function CompositionFunctionsAlgebraic Manipulation

The problem requires us to simplify the expression $(a-5)(4+a)(3-2a)$ by first multiplying two of th...

PolynomialsExpansionSimplification

次の連立方程式を解き、$x$の値が小さい順に答えよ。 $ \begin{cases} x+y = -4 \\ x^2 + y^2 = 10 \end{cases} $

連立方程式二次方程式代入法因数分解

与えられた連立方程式を解き、$x$ の値が小さい順に解を答える。連立方程式は次の通りです。 $x + y = -5$ ...(1) $xy = 6$ ...(2)

連立方程式二次方程式因数分解解の公式代入法

次の連立方程式を解きます。 $ \begin{cases} x - y = 2 & \text{...(1)} \\ x^2 - 2y^2 = 8 & \text{...(2)} \end{cases...

連立方程式二次方程式代入法解の公式

与えられた連立方程式 $x + y = 2$ $xy = -3$ を解き、$x$ の値が小さい方から答える。

連立方程式二次方程式解の公式因数分解

We need to find the equation of a line that passes through the point $(4, 5)$ and is parallel to the...

Linear EquationsSlopeParallel LinesPoint-Slope Form

The problem asks us to find the equation of a line that passes through the point $(4, 5)$ and is par...

Linear EquationsParallel LinesSlope-intercept formPoint-slope form

The problem is to determine the number of solutions and the solutions themselves for the quadratic e...

Quadratic EquationsComplex NumbersQuadratic FormulaDiscriminant

We are asked to find the equation of the line that passes through the point $(4, 5)$ and is parallel...

Linear EquationsParallel LinesPoint-Slope FormCoordinate Geometry

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