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人気のある代数 >

[f(a)]^2=3x^2-x+2

解

[f (a)]^{2} = 3 x^{2} - x + 2

解

x = \frac{1 + 12 f ( a ) ^{2} - 23}{6}, x = \frac{1 - 12 f ( a ) ^{2} - 23}{6}

解答ステップ

[f (a)]^{2} = 3 x^{2} - x + 2

改良

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

辺を交換する

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

f (a)^{2}

を左側に移動します

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

解くとthe二次式

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

簡素化

(- 1)^{2} - 4 \cdot 3 (2 - f (a)^{2}) : 12 f (a)^{2} - 23

x_{1, 2} = \frac{- ( - 1 ) \pm 12 f ( a ) ^{2} - 23}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 1 ) + 12 f ( a ) ^{2} - 23}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 12 f ( a ) ^{2} - 23}{2 \cdot 3}

x = \frac{- ( - 1 ) + 12 f ( a ) ^{2} - 23}{2 \cdot 3} : \frac{1 + 12 f ( a ) ^{2} - 23}{6}

x = \frac{- ( - 1 ) - 12 f ( a ) ^{2} - 23}{2 \cdot 3} : \frac{1 - 12 f ( a ) ^{2} - 23}{6}

二次equationの解:

x = \frac{1 + 12 f ( a ) ^{2} - 23}{6}, x = \frac{1 - 12 f ( a ) ^{2} - 23}{6}

グラフ

人気の例

- 4 x^{2} + 9 x - 3 = 0

-0.5x^2+3.2x+22=24

- 0.5 x^{2} + 3.2 x + 22 = 24

completesquare x-2x^2

co m pl e t es q u a re x - 2 x^{2}

39 x^{2} = 91

因数 2x^2+5x-7=0

f a c t or 2 x^{2} + 5 x - 7 = 0