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人気のある代数 >

x^2-3ax-28a^2=0

解

x^{2} - 3 a x - 28 a^{2} = 0

解

x = 7 a, x = - 4 a

解答ステップ

x^{2} - 3 a x - 28 a^{2} = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 3 a ) \pm ( - 3 a ) ^{2} - 4 \cdot 1 \cdot ( - 28 a ^{2} )}{2 \cdot 1}

簡素化

(- 3 a)^{2} - 4 \cdot 1 \cdot (- 28 a^{2}) : 11 a

x_{1, 2} = \frac{- ( - 3 a ) \pm 11 a}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 3 a ) + 11 a}{2 \cdot 1}, x_{2} = \frac{- ( - 3 a ) - 11 a}{2 \cdot 1}

x = \frac{- ( - 3 a ) + 11 a}{2 \cdot 1} : 7 a

x = \frac{- ( - 3 a ) - 11 a}{2 \cdot 1} : - 4 a

二次equationの解:

x = 7 a, x = - 4 a

グラフ

人気の例

solvefor y,3x^2-y^2=5x^3y^2-4

so l v e f or y, 3 x^{2} - y^{2} = 5 x^{3} y^{2} - 4

solvefor x,3x^2-8x+4=0

so l v e f or x, 3 x^{2} - 8 x + 4 = 0

solvefor x,y=c_{1}x^2+c_{2}x+c_{3}

so l v e f or x, y = c_{1} x^{2} + c_{2} x + c_{3}

64 x^{2} + 9 = 0

x^{2} + 30 x + 102 = 0