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人気のある代数 >

4x^2-(a+3)x+a=0

解

4 x^{2} - (a + 3) x + a = 0

解

x = \frac{a + 3 + a ^{2} - 10 a + 9}{8}, x = \frac{a + 3 - a ^{2} - 10 a + 9}{8}

解答ステップ

4 x^{2} - (a + 3) x + a = 0

解くとthe二次式

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

簡素化

(- a - 3)^{2} - 4 \cdot 4 a : a^{2} - 10 a + 9

x_{1, 2} = \frac{- ( - a - 3 ) \pm a ^{2} - 10 a + 9}{2 \cdot 4}

解を分離する

x_{1} = \frac{- ( - a - 3 ) + a ^{2} - 10 a + 9}{2 \cdot 4}, x_{2} = \frac{- ( - a - 3 ) - a ^{2} - 10 a + 9}{2 \cdot 4}

x = \frac{- ( - a - 3 ) + a ^{2} - 10 a + 9}{2 \cdot 4} : \frac{a + 3 + a ^{2} - 10 a + 9}{8}

x = \frac{- ( - a - 3 ) - a ^{2} - 10 a + 9}{2 \cdot 4} : \frac{a + 3 - a ^{2} - 10 a + 9}{8}

二次equationの解:

x = \frac{a + 3 + a ^{2} - 10 a + 9}{8}, x = \frac{a + 3 - a ^{2} - 10 a + 9}{8}

グラフ

人気の例

solvefor x,0=x^2+2x

so l v e f or x, 0 = x^{2} + 2 x

(x + 9)^{2} + 27 = - 5

64 k^{2} - 4 k = 0

x^{2} + 57 = 16 x

18 (- x^{2} + 1) = 0